MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C61A86.38512660" This document is a Web archive file. If you are seeing this message, this means your browser or editor doesn't support Web archive files. For more information on the Web archive format, go to http://officeupdate.microsoft.com/office/webarchive.htm ------=_NextPart_01C61A86.38512660 Content-Location: file:///C:/FCE71F70/file5296.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" MATEMATİKSEL İSTATİSTİK FORMÜLLERİ</ti= tle> <!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author>Dr. A. Mete Çilingirtürk</o:Author> <o:LastAuthor>Dr. Çilingirtürk</o:LastAuthor> <o:Revision>2</o:Revision> <o:TotalTime>345</o:TotalTime> <o:Created>2006-01-16T08:18:00Z</o:Created> <o:LastSaved>2006-01-16T08:18:00Z</o:LastSaved> <o:Pages>1</o:Pages> <o:Words>725</o:Words> <o:Characters>4135</o:Characters> <o:Company>Marmara Üniversitesi</o:Company> <o:Lines>34</o:Lines> <o:Paragraphs>9</o:Paragraphs> <o:CharactersWithSpaces>4851</o:CharactersWithSpaces> <o:Version>10.6735</o:Version> </o:DocumentProperties> </xml><![endif]--><!--[if gte mso 9]><xml> <w:WordDocument> <w:GrammarState>Clean</w:GrammarState> <w:HyphenationZone>21</w:HyphenationZone> <w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel> </w:WordDocument> </xml><![endif]--> <style> <!-- /* Font Definitions */ @font-face {font-family:Wingdings; panose-1:5 0 0 0 0 0 0 0 0 0; mso-font-charset:2; mso-generic-font-family:auto; mso-font-pitch:variable; mso-font-signature:0 268435456 0 0 -2147483648 0;} @font-face {font-family:"Arial Unicode MS"; 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mso-para-margin:0cm; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman";} </style> <![endif]--> </head> <body lang=3DTR style=3D'tab-interval:35.4pt'> <div class=3DSection1> <p class=3DMsoTitle>MATEMATİKSEL İSTATİSTİK FORMÜLLERİ</p> <p class=3DMsoNormal><!--[if gte vml 1]><v:shapetype id=3D"_x0000_t75" coor= dsize=3D"21600,21600" o:spt=3D"75" o:preferrelative=3D"t" path=3D"m@4@5l@4@11@9@11@9@5xe" filled= =3D"f" stroked=3D"f"> <v:stroke joinstyle=3D"miter"/> <v:formulas> <v:f eqn=3D"if lineDrawn pixelLineWidth 0"/> <v:f eqn=3D"sum @0 1 0"/> <v:f eqn=3D"sum 0 0 @1"/> <v:f eqn=3D"prod @2 1 2"/> <v:f eqn=3D"prod @3 21600 pixelWidth"/> <v:f eqn=3D"prod @3 21600 pixelHeight"/> <v:f eqn=3D"sum @0 0 1"/> <v:f eqn=3D"prod @6 1 2"/> <v:f eqn=3D"prod @7 21600 pixelWidth"/> <v:f eqn=3D"sum @8 21600 0"/> <v:f eqn=3D"prod @7 21600 pixelHeight"/> <v:f eqn=3D"sum @10 21600 0"/> </v:formulas> <v:path o:extrusionok=3D"f" gradientshapeok=3D"t" o:connecttype=3D"rect"/> <o:lock v:ext=3D"edit" aspectratio=3D"t"/> </v:shapetype><v:shape id=3D"_x0000_i1025" type=3D"#_x0000_t75" alt=3D"" st= yle=3D'width:522pt; height:738.75pt'> <v:imagedata src=3D"file5296_dosyalar/image001.jpg" o:href=3D"http://www.g= eocities.com/tezodevi/daglms.JPG"/> </v:shape><![endif]--><![if !vml]><img width=3D696 height=3D985 src=3D"file5296_dosyalar/image002.jpg" v:shapes=3D"_x0000_i1025"><![endif]>= </p> <p class=3DMsoNormal><o:p> </o:p></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Olasılık hesabı<o:p></o:p></span></= p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:144.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>Kesikli:<span style=3D'mso-tab-count:1'> &nbs= p;   </span><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1026" type=3D"#_x0000_t75" style=3D'width:242.25pt;height:30= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image003.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D323 height=3D40 src=3D"file5296_dosyalar/image004.gif" v:shapes=3D"_x0000_i1026"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 026" DrawAspect=3D"Content" ObjectID=3D"_1198911873"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:144.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>Sürekli:<span style=3D'mso-tab-count:1'> = ;    </span></span><span style=3D'font-size:18.0pt;mso-bidi-font-size:12.0pt;line-height:150%'><sub>= <!--[if gte vml 1]><v:shape id=3D"_x0000_i1027" type=3D"#_x0000_t75" style=3D'width:207.75pt;height:41= .25pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image005.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D277 height=3D55 src=3D"file5296_dosyalar/image006.gif" v:shapes=3D"_x0000_i1027"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 027" DrawAspect=3D"Content" ObjectID=3D"_1198911874"> </o:OLEObject> </xml><![endif]--></span><span style=3D'font-size:16.0pt;mso-bidi-font-size= :12.0pt; line-height:150%'><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Dağılım fonksiyonu:<span style=3D'mso-tab-count:1'>   </span><!--[if gte vml 1]><v:shape i= d=3D"_x0000_i1028" type=3D"#_x0000_t75" alt=3D"" style=3D'width:90.75pt;height:18.75pt'> <v:imagedata src=3D"file5296_dosyalar/image007.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/cdf.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D121 height=3D25 src=3D"file5296_dosyalar/image007.gif" v:shapes=3D"_x0000_i1028"><![endif]>= <!--[if gte vml 1]><v:shape id=3D"_x0000_i1029" type=3D"#_x0000_t75" alt=3D"" style=3D'width:93.75pt;h= eight:15.75pt'> <v:imagedata src=3D"file5296_dosyalar/image008.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/cdf1.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D125 height=3D21 src=3D"file5296_dosyalar/image008.gif" v:shapes=3D"_x0000_i1029"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:144.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i103= 0" type=3D"#_x0000_t75" style=3D'width:246.75pt;height:30pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image009.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D329 height=3D40 src=3D"file5296_dosyalar/image010.gif" v:shapes=3D"_x0000_i1030"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 030" DrawAspect=3D"Content" ObjectID=3D"_1198911875"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoCaption style=3D'margin-left:144.0pt'>Dağılım fonksiyonlarının özellikleri</p> <p class=3DMsoNormal style=3D'margin-left:144.0pt;text-indent:-18.0pt;mso-l= ist: l7 level1 lfo1;tab-stops:list 18.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><span style=3D'mso-lis= t:Ignore'>1.<span style=3D'font:7.0pt "Times New Roman"'>  </span></span></span><![endif= ]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>Bütün x̵= 7;ler için<i style=3D'mso-bidi-font-style:normal'>,</i>0</span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro= man"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>£</span></span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>F(x)</span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro= man"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>£</span></span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>1.<o:p></o:p></span></= p> <p class=3DMsoNormal style=3D'margin-left:144.0pt;text-indent:-18.0pt;mso-l= ist: l7 level1 lfo1;tab-stops:list 18.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><span style=3D'mso-lis= t:Ignore'>2.<span style=3D'font:7.0pt "Times New Roman"'>  </span></span></span><![endif= ]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>F(-</span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro= man"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>¥</span></span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>)=3D0; F(</span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro= man"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>¥</span></span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>)=3D1.<o:p></o:p></spa= n></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt;text-indent:-18.0pt;mso-l= ist: l7 level1 lfo1;tab-stops:list 18.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt;mso-bidi-font-size:18.0pt'><span style=3D'mso-lis= t:Ignore'>3.<span style=3D'font:7.0pt "Times New Roman"'>  </span></span></span><![endif= ]><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bi= di-font-size: 12.0pt'>F</span></i><span style=3D'font-size:16.0pt;mso-bidi-font-size:18.0= pt'> monoton artan bir fonksiyondur. X kesikli olduğunda basamak görüntüsü sergiler.<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt;text-indent:-18.0pt;mso-l= ist: l7 level1 lfo1;tab-stops:list 18.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt;mso-bidi-font-size:18.0pt'><span style=3D'mso-lis= t:Ignore'>4.<span style=3D'font:7.0pt "Times New Roman"'>  </span></span></span><![endif= ]><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bi= di-font-size: 12.0pt'>F(b)-F(a)=3DP(a </span></i><i style=3D'mso-bidi-font-style:normal'>= <span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro= man"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>£</span></span></i><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bi= di-font-size: 12.0pt'> X </span></i><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro= man"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>£</span></span></i><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bi= di-font-size: 12.0pt'> b)</span></i><span style=3D'font-size:16.0pt;mso-bidi-font-size:18= .0pt'><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'><o:p> </o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Yoğunluk fonksiyonu:<span style=3D'mso-tab-co= unt: 1'>         </span><!--[if gte vml = 1]><v:shape id=3D"_x0000_i1031" type=3D"#_x0000_t75" alt=3D"" style=3D'width:96pt;heig= ht:33pt'> <v:imagedata src=3D"file5296_dosyalar/image011.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/pdf.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D128 height=3D44 src=3D"file5296_dosyalar/image011.gif" v:shapes=3D"_x0000_i1031"><![endif]>= <o:p></o:p></span></p> <p style=3D'margin-left:153.0pt'><span style=3D'font-size:16.0pt;mso-bidi-f= ont-size: 12.0pt;font-family:"Times New Roman"'><!--[if gte vml 1]><v:shape id=3D"_x0= 000_i1032" type=3D"#_x0000_t75" alt=3D"" style=3D'width:87pt;height:17.25pt'> <v:imagedata src=3D"file5296_dosyalar/image012.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/pdf-i.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D116 height=3D23 src=3D"file5296_dosyalar/image012.gif" v:shapes=3D"_x0000_i1032"><![endif]>= olduğundan: <o:p></o:p></span></p> <p class=3DMsoNormal align=3Dcenter style=3D'margin-left:153.0pt;text-align= :center'><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><!--[if gte vml 1]><v:= shape id=3D"_x0000_i1033" type=3D"#_x0000_t75" alt=3D"" style=3D'width:197.25pt;= height:20.25pt'> <v:imagedata src=3D"file5296_dosyalar/image013.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/pdf-ii.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D263 height=3D27 src=3D"file5296_dosyalar/image013.gif" v:shapes=3D"_x0000_i1033"><![endif]>= <o:p></o:p></span></p> <p style=3D'margin-left:153.0pt'><span style=3D'font-size:16.0pt;mso-bidi-f= ont-size: 12.0pt;font-family:"Times New Roman"'>a) <!--[if gte vml 1]><v:shape id=3D"= _x0000_i1034" type=3D"#_x0000_t75" alt=3D"" style=3D'width:68.25pt;height:19.5pt'> <v:imagedata src=3D"file5296_dosyalar/image014.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/pdf-iii.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D91 height=3D26 src=3D"file5296_dosyalar/image014.gif" v:shapes=3D"_x0000_i1034"><![endif]>= <o:p></o:p></span></p> <p style=3D'margin-left:153.0pt'><span style=3D'font-size:16.0pt;mso-bidi-f= ont-size: 12.0pt;font-family:"Times New Roman"'>b) f(x) > 0 bütün x.<o:p= ></o:p></span></p> <p class=3DMsoNormal><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.= 0pt'>Olasılık fonksiyonu:<span style=3D'mso-tab-count:1'>    </span><!--[i= f gte vml 1]><v:shape id=3D"_x0000_i1035" type=3D"#_x0000_t75" alt=3D"" style=3D'width:93.75pt;h= eight:18pt'> <v:imagedata src=3D"file5296_dosyalar/image015.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/probdist.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D125 height=3D24 src=3D"file5296_dosyalar/image015.gif" v:shapes=3D"_x0000_i1035"><![endif]>= </span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;mso-fareast-font-family= :"Arial Unicode MS"'><o:p></o:p></span></p> <p style=3D'margin-left:153.0pt'><span style=3D'font-size:16.0pt;mso-bidi-f= ont-size: 12.0pt;font-family:"Times New Roman"'>a) <!--[if gte vml 1]><v:shape id=3D"= _x0000_i1036" type=3D"#_x0000_t75" alt=3D"" style=3D'width:1in;height:15pt'> <v:imagedata src=3D"file5296_dosyalar/image016.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/pdist1.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D96 height=3D20 src=3D"file5296_dosyalar/image016.gif" v:shapes=3D"_x0000_i1036"><![endif]>= <o:p></o:p></span></p> <p style=3D'margin-left:153.0pt'><span style=3D'font-size:16.0pt;mso-bidi-f= ont-size: 12.0pt;font-family:"Times New Roman"'>b) <!--[if gte vml 1]><v:shape id=3D"= _x0000_i1037" type=3D"#_x0000_t75" alt=3D"" style=3D'width:60pt;height:16.5pt'> <v:imagedata src=3D"file5296_dosyalar/image017.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/pdist2.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D80 height=3D22 src=3D"file5296_dosyalar/image017.gif" v:shapes=3D"_x0000_i1037"><![endif]>= <o:p></o:p></span></p> <span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:"Time= s New Roman"; mso-fareast-font-family:"Arial Unicode MS";mso-ansi-language:TR;mso-fareast= -language: TR;mso-bidi-language:AR-SA'><br clear=3Dall style=3D'mso-special-character:= line-break; page-break-before:always'> </span> <p><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:"T= imes New Roman"'><o:p> </o:p></span></p> <p><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>Ortak Yoğunluk:<span style=3D'mso-tab-count:1'>     = ; </span></span><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1038" type=3D"#_x0000_t75" style=3D'width:207pt;height:24.75= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image018.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D276 height=3D33 src=3D"file5296_dosyalar/image019.gif" v:shapes=3D"_x0000_i1038"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 038" DrawAspect=3D"Content" ObjectID=3D"_1198911876"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1= 039" type=3D"#_x0000_t75" style=3D'width:242.25pt;height:42pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image020.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D323 height=3D56 src=3D"file5296_dosyalar/image021.gif" v:shapes=3D"_x0000_i1039"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 039" DrawAspect=3D"Content" ObjectID=3D"_1198911877"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <h1 style=3D'margin-left:144.0pt'>Ortak Dağılımların Özellikleri</h1> <p class=3DMsoNormal style=3D'margin-left:144.0pt;text-indent:-18.0pt;mso-l= ist: l2 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><span style=3D'mso-lis= t:Ignore'>1.<span style=3D'font:7.0pt "Times New Roman"'>  </span></span></span><![endif= ]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>Kesikli <i style=3D'ms= o-bidi-font-style: normal'>X</i> ve <i style=3D'mso-bidi-font-style:normal'>Y</i>, <o:p></o:p>= </span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1= 040" type=3D"#_x0000_t75" style=3D'width:101.25pt;height:24.75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image022.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D135 height=3D33 src=3D"file5296_dosyalar/image023.gif" v:shapes=3D"_x0000_i1040"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 040" DrawAspect=3D"Content" ObjectID=3D"_1198911878"> </o:OLEObject> </xml><![endif]--><span style=3D'mso-spacerun:yes'> </span>and <sub><!= --[if gte vml 1]><v:shape id=3D"_x0000_i1041" type=3D"#_x0000_t75" style=3D'width:120pt;height:39.75= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image024.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D160 height=3D53 src=3D"file5296_dosyalar/image025.gif" v:shapes=3D"_x0000_i1041"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 041" DrawAspect=3D"Content" ObjectID=3D"_1198911879"> </o:OLEObject> </xml><![endif]-->.<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt;text-indent:-18.0pt;mso-l= ist: l2 level1 lfo2;tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><span style=3D'mso-lis= t:Ignore'>2.<span style=3D'font:7.0pt "Times New Roman"'>  </span></span></span><![endif= ]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>Sürekli <i style=3D'mso-bidi-font-style:normal'>X</i> ve <i style=3D'mso-bidi-font-sty= le:normal'>Y</i>,<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:144.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i104= 2" type=3D"#_x0000_t75" style=3D'width:81pt;height:21pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image026.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D108 height=3D28 src=3D"file5296_dosyalar/image027.gif" v:shapes=3D"_x0000_i1042"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 042" DrawAspect=3D"Content" ObjectID=3D"_1198911880"> </o:OLEObject> </xml><![endif]--><span style=3D'mso-spacerun:yes'> </span>and <sub><!= --[if gte vml 1]><v:shape id=3D"_x0000_i1043" type=3D"#_x0000_t75" style=3D'width:158.25pt;height:36= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image028.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D211 height=3D48 src=3D"file5296_dosyalar/image029.gif" v:shapes=3D"_x0000_i1043"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 043" DrawAspect=3D"Content" ObjectID=3D"_1198911881"> </o:OLEObject> </xml><![endif]-->.<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Ortak Dağılım fonksiyonu (süre= kli için):<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:117.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>P(X</span><span style=3D'font-size:16.0pt;mso-bidi= -font-size: 12.0pt;line-height:150%;font-family:Symbol;mso-ascii-font-family:"Times New= Roman"; mso-hansi-font-family:"Times New Roman";mso-char-type:symbol;mso-symbol-fon= t-family: Symbol'><span style=3D'mso-char-type:symbol;mso-symbol-font-family:Symbol'>= £</span></span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'>x,Y</= span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%;font-f= amily: Symbol;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times= New Roman"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>£</span></span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'>y)=3D= F(x,y)<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:117.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>F(x,y)=3D<sub><!--[if gte vml 1]><v:shape id=3D"_x= 0000_i1044" type=3D"#_x0000_t75" style=3D'width:102.75pt;height:50.25pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image030.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D137 height=3D67 src=3D"file5296_dosyalar/image031.gif" v:shapes=3D"_x0000_i1044"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1044" DrawAspect=3D"Content" ObjectID=3D"_1198911882"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Marjinal Olasılık Dağılımları:<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:126.0pt;text-indent:-36.0pt;mso-l= ist: l1 level1 lfo3;tab-stops:list 126.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><span style=3D'mso-lis= t:Ignore'>(a)<span style=3D'font:7.0pt "Times New Roman"'>      =        </span></span></span><![endif]><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>X</span></i><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'> ve <i style=3D'mso-bi= di-font-style: normal'>Y</i> kesikli ise,<o:p></o:p></span></p> <p class=3DMsoNormal align=3Dcenter style=3D'margin-left:126.0pt;text-align= :center; text-indent:-36.0pt;tab-stops:list 126.0pt'><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1= 045" type=3D"#_x0000_t75" style=3D'width:291pt;height:39.75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image032.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D388 height=3D53 src=3D"file5296_dosyalar/image033.gif" v:shapes=3D"_x0000_i1045"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 045" DrawAspect=3D"Content" ObjectID=3D"_1198911883"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:126.0pt;text-indent:-36.0pt;mso-l= ist: l1 level1 lfo3;tab-stops:list 126.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><span style=3D'mso-lis= t:Ignore'>(b)<span style=3D'font:7.0pt "Times New Roman"'>      =       </span></span></span><![endif]><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>X</span></i><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'> ve <i style=3D'mso-bi= di-font-style: normal'>Y</i> sürekli ise, <o:p></o:p></span></p> <p class=3DMsoNormal align=3Dcenter style=3D'margin-left:126.0pt;text-align= :center; text-indent:-36.0pt;tab-stops:list 126.0pt'><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1= 046" type=3D"#_x0000_t75" style=3D'width:327pt;height:36pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image034.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D436 height=3D48 src=3D"file5296_dosyalar/image035.gif" v:shapes=3D"_x0000_i1046"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 046" DrawAspect=3D"Content" ObjectID=3D"_1198911884"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Bağımsızlık kuralı:<span style=3D'mso-tab-count:1'>      </span><!--[if gte= vml 1]><v:shape id=3D"_x0000_i1047" type=3D"#_x0000_t75" alt=3D"" style=3D'width:119.25pt;= height:27.75pt'> <v:imagedata src=3D"file5296_dosyalar/image036.png" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/ies.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D159 height=3D37 src=3D"file5296_dosyalar/image037.jpg" v:shapes=3D"_x0000_i1047"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:153.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>f(x,y) =3D g(x).h(y)<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:153.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>g(x) ve h(y) X ve Y’nin marjinal olasılık fonksiyonlarıdır.<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:153.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>F(x,y) =3D G(x).H(y)<o:p></o:p></span></p> <p class=3DMsoBodyTextIndent>G(x) ve H(y) X ve Y’nin marjinal dağılım fonksiyonlarıdır.</p> <span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%; font-family:"Times New Roman";mso-fareast-font-family:"Times New Roman"; mso-ansi-language:TR;mso-fareast-language:TR;mso-bidi-language:AR-SA'><br clear=3Dall style=3D'mso-special-character:line-break;page-break-before:alw= ays'> </span> <p class=3DMsoBodyTextIndent><o:p> </o:p></p> <p class=3DMsoBodyTextIndent style=3D'margin-left:0cm'>Koşullu Dağılımlar: <sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1= 048" type=3D"#_x0000_t75" style=3D'width:53.25pt;height:18.75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image038.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D71 height=3D25 src=3D"file5296_dosyalar/image039.gif" v:shapes=3D"_x0000_i1048"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1048" DrawAspect=3D"Content" ObjectID=3D"_1198911885"> </o:OLEObject> </xml><![endif]--><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1049" type= =3D"#_x0000_t75" style=3D'width:219.75pt;height:1in' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image040.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D293 height=3D96 src=3D"file5296_dosyalar/image041.gif" v:shapes=3D"_x0000_i1049"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1049" DrawAspect=3D"Content" ObjectID=3D"_1198911886"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><sub><span style=3D'font-= size:16.0pt; mso-bidi-font-size:12.0pt'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1050" type=3D"#_x0000_t75" style=3D'width:333pt;height:45.75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image042.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D444 height=3D61 src=3D"file5296_dosyalar/image043.gif" v:shapes=3D"_x0000_i1050"><![endif]>= </span></sub><sup><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><!--[if gte mso 9]><xm= l> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1050" DrawAspect=3D"Content" ObjectID=3D"_1198911887"> </o:OLEObject> </xml><![endif]--></span></sup><span style=3D'font-size:16.0pt;mso-bidi-fon= t-size: 12.0pt'><o:p></o:p></span></p> <p class=3DMsoBodyTextIndent style=3D'margin-left:90.0pt'><!--[if gte vml 1= ]><v:shape id=3D"_x0000_i1051" type=3D"#_x0000_t75" style=3D'width:270pt;height:39.75= pt'> <v:imagedata src=3D"file5296_dosyalar/image044.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D360 height=3D53 src=3D"file5296_dosyalar/image045.jpg" v:shapes=3D"_x0000_i1051"><![endif]>= </p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Beklenen değer:<span style=3D'mso-tab-count:1= '>  </span><!--[if gte vml 1]><v:shape id=3D"_x0000_i1052" type=3D"#_x0000_t75" alt=3D"" style=3D'width:111pt;hei= ght:19.5pt'> <v:imagedata src=3D"file5296_dosyalar/image046.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/ev-d.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D148 height=3D26 src=3D"file5296_dosyalar/image046.gif" v:shapes=3D"_x0000_i1052"><![endif]>= <span style=3D'mso-tab-count:1'>        </span= ><!--[if gte vml 1]><v:shape id=3D"_x0000_i1053" type=3D"#_x0000_t75" alt=3D"" style=3D'width:112.5pt;h= eight:19.5pt'> <v:imagedata src=3D"file5296_dosyalar/image047.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/ev-con.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D150 height=3D26 src=3D"file5296_dosyalar/image047.gif" v:shapes=3D"_x0000_i1053"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'>Ortak olasılık yoğunluk fonksiyonları ile,<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><sub><!--[if gte vml 1]><= v:shape id=3D"_x0000_i1054" type=3D"#_x0000_t75" style=3D'width:297.75pt;height:51= .75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image048.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D397 height=3D69 src=3D"file5296_dosyalar/image049.gif" v:shapes=3D"_x0000_i1054"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1054" DrawAspect=3D"Content" ObjectID=3D"_1198911888"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><sub><!--[if gte vml 1]><= v:shape id=3D"_x0000_i1055" type=3D"#_x0000_t75" style=3D'width:228.75pt;height:51= .75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image050.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D305 height=3D69 src=3D"file5296_dosyalar/image051.gif" v:shapes=3D"_x0000_i1055"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1055" DrawAspect=3D"Content" ObjectID=3D"_1198911889"> </o:OLEObject> </xml><![endif]--><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt= '><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'>h(X) X’in bir fonksiyonu iken,<o:p></o:p><= /span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1= 056" type=3D"#_x0000_t75" style=3D'width:273.75pt;height:54pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image052.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D365 height=3D72 src=3D"file5296_dosyalar/image053.gif" v:shapes=3D"_x0000_i1056"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 056" DrawAspect=3D"Content" ObjectID=3D"_1198911890"> </o:OLEObject> </xml><![endif]-->.<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1= 057" type=3D"#_x0000_t75" style=3D'width:293.25pt;height:39pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image054.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D391 height=3D52 src=3D"file5296_dosyalar/image055.gif" v:shapes=3D"_x0000_i1057"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 057" DrawAspect=3D"Content" ObjectID=3D"_1198911891"> </o:OLEObject> </xml><![endif]-->.<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'>H(X,Y) X ve Y’nin bir fonksiyonu iken,<o:p= ></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1= 058" type=3D"#_x0000_t75" style=3D'width:378pt;height:56.25pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image056.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D504 height=3D75 src=3D"file5296_dosyalar/image057.gif" v:shapes=3D"_x0000_i1058"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 058" DrawAspect=3D"Content" ObjectID=3D"_1198911892"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:90.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-bi= di-font-size: 12.0pt;line-height:150%'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i105= 9" type=3D"#_x0000_t75" style=3D'width:417.75pt;height:39pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image058.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D557 height=3D52 src=3D"file5296_dosyalar/image059.gif" v:shapes=3D"_x0000_i1059"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 059" DrawAspect=3D"Content" ObjectID=3D"_1198911893"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%; font-family:"Times New Roman";mso-fareast-font-family:"Times New Roman"; mso-ansi-language:TR;mso-fareast-language:TR;mso-bidi-language:AR-SA'><br clear=3Dall style=3D'mso-special-character:line-break;page-break-before:alw= ays'> </span> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:90.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-bi= di-font-size: 12.0pt;line-height:150%'><o:p> </o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt'><u><span style=3D'font-si= ze:16.0pt; mso-bidi-font-size:12.0pt'>Beklenen Değerin Özellikleri<o:p></o:p= ></span></u></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt;text-indent:-18.0pt;mso-li= st:l4 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt'><span style=3D'mso-list:Ignore'>1.<span style=3D'font:7.0pt "Times New Roman"'>    </span></span></s= pan><![endif]><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bi= di-font-size: 12.0pt'>c bir sabit iken,<span style=3D'mso-tab-count:3'>   =             &nb= sp;         </span> E</span></i><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>(<i style=3D'mso-bidi-font-style:normal'>c</i>) =3D <i style=3D'mso-bidi-font-s= tyle:normal'>c</i>.<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt;text-indent:-18.0pt;mso-li= st:l4 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt'><span style=3D'mso-list:Ignore'>2.<span style=3D'font:7.0pt "Times New Roman"'>    </span></span></s= pan><![endif]><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1060" type=3D"#_x0000_t75" style=3D'width:285.75pt;height:48= .75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image060.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D381 height=3D65 src=3D"file5296_dosyalar/image061.gif" v:shapes=3D"_x0000_i1060"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1060" DrawAspect=3D"Content" ObjectID=3D"_1198911894"> </o:OLEObject> </xml><![endif]--><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt= '><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt;text-indent:-18.0pt;mso-li= st:l4 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt'><span style=3D'mso-list:Ignore'>3.<span style=3D'font:7.0pt "Times New Roman"'>    </span></span></s= pan><![endif]><i style=3D'mso-bidi-font-style:normal'><span style=3D'font-size:16.0pt;mso-bi= di-font-size: 12.0pt'>a</span></i><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0= pt'> ve <i style=3D'mso-bidi-font-style:normal'>b sabit iken<span style=3D'mso-t= ab-count: 2'>            =   </span></i><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1061" type=3D"#_x0000_t75" style=3D'width:240.75pt;height:24= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image062.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D321 height=3D32 src=3D"file5296_dosyalar/image063.gif" v:shapes=3D"_x0000_i1061"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 061" DrawAspect=3D"Content" ObjectID=3D"_1198911895"> </o:OLEObject> </xml><![endif]-->.<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt;text-indent:-18.0pt;mso-li= st:l4 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt'><span style=3D'mso-list:Ignore'>4.<span style=3D'font:7.0pt "Times New Roman"'>    </span></span></s= pan><![endif]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>E[c1X1+c2X2+ …+cnXn]=3Dc1 E[ X1 ] +c2<span style=3D'mso-spacerun:yes'>  </spa= n>E[X2] + …+cn E[Xn]<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt;text-indent:-18.0pt;mso-li= st:l4 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt'><span style=3D'mso-list:Ignore'>5.<span style=3D'font:7.0pt "Times New Roman"'>    </span></span></s= pan><![endif]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>X ve Y sonlu ortalamaya sahip bağımsız tesadüfi değişkenler ise:<sub>= <!--[if gte vml 1]><v:shape id=3D"_x0000_i1062" type=3D"#_x0000_t75" style=3D'width:165.75pt;height:24= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image064.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D221 height=3D32 src=3D"file5296_dosyalar/image065.gif" v:shapes=3D"_x0000_i1062"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 062" DrawAspect=3D"Content" ObjectID=3D"_1198911896"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:90.0pt;text-indent:-18.0pt;mso-li= st:l4 level1 lfo4; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt'><span style=3D'mso-list:Ignore'>6.<span style=3D'font:7.0pt "Times New Roman"'>    </span></span></s= pan><![endif]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>E[g(X)] =3D </span><sp= an style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro= man"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>å</span></span><sub><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>i</span></sub><sub><sp= an style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro= man"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>³</span></span></sub><sub><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>1<span style=3D'mso-spacerun:yes'>  </span></span></sub><span style=3D'font-s= ize: 16.0pt;mso-bidi-font-size:12.0pt'>g(x<sub>i</sub>)<span style=3D'mso-spacerun:yes'>  </span>f(x<sub>i</sub>)<o:p></o:p></span>= </p> <p class=3DMsoNormal><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.= 0pt'><o:p> </o:p></span></p> <p class=3DMsoNormal><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.= 0pt'>Koşullu Beklenen Değer: </span><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i= 1063" type=3D"#_x0000_t75" style=3D'width:201.75pt;height:48.75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image066.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D269 height=3D65 src=3D"file5296_dosyalar/image067.gif" v:shapes=3D"_x0000_i1063"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1063" DrawAspect=3D"Content" ObjectID=3D"_1198911897"> </o:OLEObject> </xml><![endif]--><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt= '><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:72.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'>Y’nin koşullu beklenen değeri X’in bir fonksiyonudur: </span><sub><!--[if gte vml 1]><v:shape id=3D= "_x0000_i1064" type=3D"#_x0000_t75" style=3D'width:125.25pt;height:21pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image068.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D167 height=3D28 src=3D"file5296_dosyalar/image069.gif" v:shapes=3D"_x0000_i1064"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1064" DrawAspect=3D"Content" ObjectID=3D"_1198911898"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-left:72.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'>Bu durumda: </span><sub><!--[if gte vml 1]><v:sh= ape id=3D"_x0000_i1065" type=3D"#_x0000_t75" style=3D'width:393pt;height:51.75= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image070.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D524 height=3D69 src=3D"file5296_dosyalar/image071.gif" v:shapes=3D"_x0000_i1065"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1065" DrawAspect=3D"Content" ObjectID=3D"_1198911899"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-left:72.0pt'><sub><!--[if gte vml 1]><= v:shape id=3D"_x0000_i1066" type=3D"#_x0000_t75" style=3D'width:177pt;height:51.75= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image072.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D236 height=3D69 src=3D"file5296_dosyalar/image073.gif" v:shapes=3D"_x0000_i1066"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1066" DrawAspect=3D"Content" ObjectID=3D"_1198911900"> </o:OLEObject> </xml><![endif]--><span style=3D'mso-spacerun:yes'> </span><sub><!--[i= f gte vml 1]><v:shape id=3D"_x0000_i1067" type=3D"#_x0000_t75" style=3D'width:96.75pt;height:51.= 75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image074.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D129 height=3D69 src=3D"file5296_dosyalar/image075.gif" v:shapes=3D"_x0000_i1067"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1067" DrawAspect=3D"Content" ObjectID=3D"_1198911902"> </o:OLEObject> </xml><![endif]--><span style=3D'mso-spacerun:yes'> </span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'>=3DE(Y)<o:p></o:p></sp= an></p> <p class=3DMsoNormal style=3D'margin-left:72.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'>Dolayısıyla<span style=3D'mso-tab-coun= t: 1'>         </span><sub><!--[if gte= vml 1]><v:shape id=3D"_x0000_i1068" type=3D"#_x0000_t75" style=3D'width:123pt;height:21pt'= o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image076.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D164 height=3D28 src=3D"file5296_dosyalar/image077.gif" v:shapes=3D"_x0000_i1068"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1068" DrawAspect=3D"Content" ObjectID=3D"_1198911903"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;font-family:"Time= s New Roman"; mso-fareast-font-family:"Times New Roman";mso-ansi-language:TR;mso-fareast-= language: TR;mso-bidi-language:AR-SA'><br clear=3Dall style=3D'mso-special-character:= line-break; page-break-before:always'> </span> <p class=3DMsoNormal style=3D'margin-left:72.0pt'><span style=3D'font-size:= 16.0pt; mso-bidi-font-size:12.0pt'><o:p> </o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:106.2pt;text-indent:-106.2pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'>Varya= ns:<span style=3D'mso-tab-count:2'>        &= nbsp;           &nbs= p;  </span></span><span style=3D'font-size:18.0pt;mso-bidi-font-size:12.0pt;line-height:150%'><sub>= <!--[if gte vml 1]><v:shape id=3D"_x0000_i1069" type=3D"#_x0000_t75" style=3D'width:239.25pt;height:27= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image078.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D319 height=3D36 src=3D"file5296_dosyalar/image079.gif" v:shapes=3D"_x0000_i1069"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 069" DrawAspect=3D"Content" ObjectID=3D"_1198911904"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:144.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1070" ty= pe=3D"#_x0000_t75" alt=3D"" style=3D'width:104.25pt;height:28.5pt'> <v:imagedata src=3D"file5296_dosyalar/image080.png" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/vars.gif" cropleft=3D"37247f"/> </v:shape><![endif]--><![if !vml]><img width=3D139 height=3D38 src=3D"file5296_dosyalar/image081.jpg" v:shapes=3D"_x0000_i1070"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><u><span style=3D'font-s= ize:16.0pt; mso-bidi-font-size:12.0pt'>Varyansın Özellikleri<o:p></o:p></span= ></u></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'>1. <sub><!--[if gte vml 1]><v:shape id=3D"_x0000= _i1071" type=3D"#_x0000_t75" style=3D'width:87pt;height:24pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image082.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D116 height=3D32 src=3D"file5296_dosyalar/image083.gif" v:shapes=3D"_x0000_i1071"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 071" DrawAspect=3D"Content" ObjectID=3D"_1198911905"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'>2. <sub><!--[if gte vml 1]><v:shape id=3D"_x0000= _i1072" type=3D"#_x0000_t75" style=3D'width:174pt;height:24pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image084.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D232 height=3D32 src=3D"file5296_dosyalar/image085.gif" v:shapes=3D"_x0000_i1072"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 072" DrawAspect=3D"Content" ObjectID=3D"_1198911906"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'>3. <sub><!--[if gte vml 1]><v:shape id=3D"_x0000= _i1073" type=3D"#_x0000_t75" style=3D'width:176.25pt;height:27pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image086.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D235 height=3D36 src=3D"file5296_dosyalar/image087.gif" v:shapes=3D"_x0000_i1073"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 073" DrawAspect=3D"Content" ObjectID=3D"_1198911907"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'>4. <sub><!--[if gte vml 1]><v:shape id=3D"_x0000= _i1074" type=3D"#_x0000_t75" style=3D'width:209.25pt;height:27pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image088.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D279 height=3D36 src=3D"file5296_dosyalar/image089.gif" v:shapes=3D"_x0000_i1074"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 074" DrawAspect=3D"Content" ObjectID=3D"_1198911908"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'>5. Sonlu varyansa sahip X ve Y bağımsız tesadüfi değişkenler ise<o:p></o:p><= /span></p> <p class=3DMsoNormal align=3Dcenter style=3D'margin-left:144.0pt;text-align= :center'><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt'><sub><!--[if gte vml 1= ]><v:shape id=3D"_x0000_i1075" type=3D"#_x0000_t75" style=3D'width:251.25pt;height:24= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image090.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D335 height=3D32 src=3D"file5296_dosyalar/image091.gif" v:shapes=3D"_x0000_i1075"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 075" DrawAspect=3D"Content" ObjectID=3D"_1198911909"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1076" type=3D"#_x0000_t75" style=3D'width:315pt;height:53.25pt'> <v:imagedata src=3D"file5296_dosyalar/image092.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D420 height=3D71 src=3D"file5296_dosyalar/image093.jpg" v:shapes=3D"_x0000_i1076"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:144.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:12.0pt'><o:p> </o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Standart Sapma:<span style=3D'mso-tab-count:2'>&nb= sp;          </span><!--[if gt= e vml 1]><v:shape id=3D"_x0000_i1077" type=3D"#_x0000_t75" alt=3D"" style=3D'width:99.75pt;h= eight:23.25pt'> <v:imagedata src=3D"file5296_dosyalar/image094.gif" o:href=3D"http://www.c= as.lancs.ac.uk/glossary_v1.1/Images/vars1.gif"/> </v:shape><![endif]--><![if !vml]><img width=3D133 height=3D31 src=3D"file5296_dosyalar/image094.gif" v:shapes=3D"_x0000_i1077"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Yaklaşık Değerler:<span style=3D'mso-tab-count:1'>      </span>Y=3Dg(X) is= e<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:36.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l5 level1 = lfo9; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt;line-height:150%;font-family:Symbol;mso-fareast-f= ont-family: Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·= ;<span style=3D'font:7.0pt "Times New Roman"'>      = </span></span></span><![endif]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'><!--[= if gte vml 1]><v:shape id=3D"_x0000_i1078" type=3D"#_x0000_t75" style=3D'width:207pt;height:48pt'> <v:imagedata src=3D"file5296_dosyalar/image095.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D276 height=3D64 src=3D"file5296_dosyalar/image096.jpg" v:shapes=3D"_x0000_i1078"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:36.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l5 level1 = lfo9; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt;line-height:150%;font-family:Symbol;mso-fareast-f= ont-family: Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·= ;<span style=3D'font:7.0pt "Times New Roman"'>      = </span></span></span><![endif]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'><!--[= if gte vml 1]><v:shape id=3D"_x0000_i1079" type=3D"#_x0000_t75" style=3D'width:138.75pt;height:30= pt'> <v:imagedata src=3D"file5296_dosyalar/image097.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D185 height=3D40 src=3D"file5296_dosyalar/image098.jpg" v:shapes=3D"_x0000_i1079"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:141.6pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>Z=3Dg(X,Y) ise<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:36.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l5 level1 = lfo9; tab-stops:list 36.0pt'><![if !supportLists]><sup><span style=3D'font-size:1= 6.0pt; mso-bidi-font-size:12.0pt;line-height:150%;font-family:Symbol;mso-fareast-f= ont-family: Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·= ;<span style=3D'font:7.0pt "Times New Roman"'>      =    </span></span></span></sup><![endif]><sup><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt;line-height:150%'>E[g(X,Y)] <!--[if gte vml 1]><v= :shape id=3D"_x0000_i1080" type=3D"#_x0000_t75" style=3D'width:363pt;height:54.75= pt'> <v:imagedata src=3D"file5296_dosyalar/image099.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D484 height=3D73 src=3D"file5296_dosyalar/image100.jpg" v:shapes=3D"_x0000_i1080"><![endif]>= <o:p></o:p></span></sup></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:36.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l5 level1 = lfo9; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt;line-height:150%;font-family:Symbol;mso-fareast-f= ont-family: Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·= ;<span style=3D'font:7.0pt "Times New Roman"'>      = </span></span></span><![endif]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'><!--[= if gte vml 1]><v:shape id=3D"_x0000_i1081" type=3D"#_x0000_t75" style=3D'width:478.5pt;height:54p= t'> <v:imagedata src=3D"file5296_dosyalar/image101.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D638 height=3D72 src=3D"file5296_dosyalar/image102.jpg" v:shapes=3D"_x0000_i1081"><![endif]>= <o:p></o:p></span></p> <span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%; font-family:"Times New Roman";mso-fareast-font-family:"Times New Roman"; mso-ansi-language:TR;mso-fareast-language:TR;mso-bidi-language:AR-SA'><br clear=3Dall style=3D'mso-special-character:line-break;page-break-before:alw= ays'> </span> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'><o:p> </o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Kovaryans:<span style=3D'mso-tab-count:2'> &n= bsp;            = ;     </span></span><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1082" type=3D"#_x0000_t75" style=3D'width:297.75pt;height:21= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image103.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D397 height=3D28 src=3D"file5296_dosyalar/image104.gif" v:shapes=3D"_x0000_i1082"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1082" DrawAspect=3D"Content" ObjectID=3D"_1198911910"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:135.0pt;line-height:150%'><sub><!--[if gte vml 1]><v:shape id= =3D"_x0000_i1083" type=3D"#_x0000_t75" style=3D'width:315pt;height:48.75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image105.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D420 height=3D65 src=3D"file5296_dosyalar/image106.gif" v:shapes=3D"_x0000_i1083"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1083" DrawAspect=3D"Content" ObjectID=3D"_1198911911"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:135.0pt;line-height:150%'><sub><!--[if gte vml 1]><v:shape id= =3D"_x0000_i1084" type=3D"#_x0000_t75" style=3D'width:300pt;height:36pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image107.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D400 height=3D48 src=3D"file5296_dosyalar/image108.gif" v:shapes=3D"_x0000_i1084"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1084" DrawAspect=3D"Content" ObjectID=3D"_1198911912"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoCaption style=3D'margin-top:6.0pt;margin-right:0cm;margin-bot= tom: 6.0pt;margin-left:135.0pt;line-height:150%'>Kovaryansın Özellikle= ri</p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:171.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l3 level1= lfo8; tab-stops:list 171.0pt'><![if !supportLists]><span style=3D'font-family:Sym= bol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "Times New Roma= n"'>        </span></span></span><![endif]><sub><!--[if gte vml 1]><v:shape id=3D"_x000= 0_i1085" type=3D"#_x0000_t75" style=3D'width:161.25pt;height:24pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image109.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D215 height=3D32 src=3D"file5296_dosyalar/image110.gif" v:shapes=3D"_x0000_i1085"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1085" DrawAspect=3D"Content" ObjectID=3D"_1198911913"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:171.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l3 level1= lfo8; tab-stops:list 171.0pt'><![if !supportLists]><span style=3D'font-family:Sym= bol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "Times New Roma= n"'>        </span></span></span><![endif]><span style=3D'font-size:16.0pt;mso-bidi-fon= t-size: 12.0pt;line-height:150%'>X ve Y bağımsız ise </span><sub><!-= -[if gte vml 1]><v:shape id=3D"_x0000_i1086" type=3D"#_x0000_t75" style=3D'width:126.75pt;height:24= pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image111.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D169 height=3D32 src=3D"file5296_dosyalar/image112.gif" v:shapes=3D"_x0000_i1086"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1086" DrawAspect=3D"Content" ObjectID=3D"_1198911914"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:171.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l3 level1= lfo8; tab-stops:list 171.0pt'><![if !supportLists]><span style=3D'font-family:Sym= bol; mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·<span style=3D'font:7.0pt "Times New Roma= n"'>        </span></span></span><![endif]><sub><!--[if gte vml 1]><v:shape id=3D"_x000= 0_i1087" type=3D"#_x0000_t75" style=3D'width:156pt;height:24pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image113.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D208 height=3D32 src=3D"file5296_dosyalar/image114.gif" v:shapes=3D"_x0000_i1087"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1087" DrawAspect=3D"Content" ObjectID=3D"_1198911915"> </o:OLEObject> </xml><![endif]--></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:171.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l3 level1= lfo8; tab-stops:list 171.0pt'><![if !supportLists]><span style=3D'font-size:16.0p= t; mso-bidi-font-size:12.0pt;line-height:150%;font-family:Symbol;mso-fareast-f= ont-family: Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·= ;<span style=3D'font:7.0pt "Times New Roman"'>      = </span></span></span><![endif]><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1088" type=3D"#_x0000_t75" style=3D'width:86.25pt;height:27.= 75pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image115.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D115 height=3D37 src=3D"file5296_dosyalar/image116.gif" v:shapes=3D"_x0000_i1088"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1088" DrawAspect=3D"Content" ObjectID=3D"_1198911916"> </o:OLEObject> </xml><![endif]--><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt; line-height:150%'><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:135.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>Korelasyon katsayısı (Pearson Ç.M= .): </span><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1089" type=3D"#_x0000_t75" style=3D'width:71.25pt;height:50.= 25pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image117.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D95 height=3D67 src=3D"file5296_dosyalar/image118.gif" v:shapes=3D"_x0000_i1089"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.3" ShapeID=3D"_x0000_i1089" DrawAspect=3D"Content" ObjectID=3D"_1198911917"> </o:OLEObject> </xml><![endif]--></p> <span style=3D'font-size:12.0pt;line-height:150%;font-family:"Times New Rom= an"; mso-fareast-font-family:"Times New Roman";mso-ansi-language:TR;mso-fareast-= language: TR;mso-bidi-language:AR-SA'><br clear=3Dall style=3D'mso-special-character:= line-break; page-break-before:always'> </span> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:135.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'><o:p> </o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Moment ve Moment Çıkartan Fonksiyon<o:= p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:126.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>X’in n.inci momenti :<span style=3D'mso-tab-= count: 2'>            =    </span>E(X<sup>n</sup>)<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:126.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>M.Ç.F. (|t|<1 iken) :<span style=3D'mso-= tab-count: 2'>            =       </span>M<sub>x</sub>(t)=3DE(e<sup>xt</sup>)= =3D</span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%;font-f= amily: Symbol;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times= New Roman"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>å</span></span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'>e<sup= >xt</sup>f(x)<span style=3D'mso-tab-count:2'>        &= nbsp;  </span>(kesikli için)<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:126.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1090" ty= pe=3D"#_x0000_t75" style=3D'width:135.75pt;height:54pt'> <v:imagedata src=3D"file5296_dosyalar/image119.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D181 height=3D72 src=3D"file5296_dosyalar/image120.jpg" v:shapes=3D"_x0000_i1090"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:126.0pt;line-height:150%'><span style=3D'font-size:16.0pt;mso-b= idi-font-size: 12.0pt;line-height:150%'>Moment çıkartan fonksiyonun kullanımı<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:126.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l8 level1= lfo5; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt;line-height:150%;font-family:Symbol;mso-fareast-f= ont-family: Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·= ;<span style=3D'font:7.0pt "Times New Roman"'>      = </span></span></span><![endif]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'>Momen= tlerin elde edilmesini sağlar,<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:126.0pt;text-indent:-18.0pt;line-height:150%;mso-list:l8 level1= lfo5; tab-stops:list 36.0pt'><![if !supportLists]><span style=3D'font-size:16.0pt; mso-bidi-font-size:12.0pt;line-height:150%;font-family:Symbol;mso-fareast-f= ont-family: Symbol;mso-bidi-font-family:Symbol'><span style=3D'mso-list:Ignore'>·= ;<span style=3D'font:7.0pt "Times New Roman"'>      = </span></span></span><![endif]><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'>Olas&= #305;lık fonksiyonunun tanımlanmasını sağlar.<o:p></o:p></span><= /p> <p class=3DMsoNormal style=3D'margin-left:126.0pt'><u><span style=3D'font-s= ize:16.0pt; mso-bidi-font-size:18.0pt'>Moment Ç.F.’un özellikleri:<o:= p></o:p></span></u></p> <p class=3DMsoNormal style=3D'margin-left:126.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:18.0pt'>1. <i style=3D'mso-bidi-font-style:normal'>a </i= >ve <i style=3D'mso-bidi-font-style:normal'>b sabitler iken</i>, <sub><!--[if gte = vml 1]><v:shape id=3D"_x0000_i1091" type=3D"#_x0000_t75" style=3D'width:147.75pt;height:26= .25pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image121.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D197 height=3D35 src=3D"file5296_dosyalar/image122.gif" v:shapes=3D"_x0000_i1091"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 091" DrawAspect=3D"Content" ObjectID=3D"_1198911918"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-left:126.0pt'><span style=3D'font-size= :16.0pt; mso-bidi-font-size:18.0pt'>2. <i style=3D'mso-bidi-font-style:normal'>X</i>= ve <i style=3D'mso-bidi-font-style:normal'>Y bağımsız tesadüfi değişkenler ise, </i><sub><!--[if gte vml 1]><v:shape id=3D"_x000= 0_i1092" type=3D"#_x0000_t75" style=3D'width:180pt;height:23.25pt' o:ole=3D""> <v:imagedata src=3D"file5296_dosyalar/image123.wmz" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D240 height=3D31 src=3D"file5296_dosyalar/image124.gif" v:shapes=3D"_x0000_i1092"><![endif]>= </sub><!--[if gte mso 9]><xml> <o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1= 092" DrawAspect=3D"Content" ObjectID=3D"_1198911919"> </o:OLEObject> </xml><![endif]--><o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Çarpım Moment:<span style=3D'mso-tab-c= ount: 1'>         </span>E[X<sup>r</sup>Y= <sup>s</sup>]=3D</span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%;font-f= amily: Symbol;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times= New Roman"; mso-char-type:symbol;mso-symbol-font-family:Symbol'><span style=3D'mso-char= -type: symbol;mso-symbol-font-family:Symbol'>å<span style=3D'mso-char-type:s= ymbol; mso-symbol-font-family:Symbol'>å</span></span></span><span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%'>x<sup= >r</sup>y<sup>s</sup>f(x,y)<o:p></o:p></span></p> <h2>E[U(X)V(Y)]=3DE[U(X)]E[V(Y)]</h2> <span style=3D'font-size:16.0pt;mso-bidi-font-size:12.0pt;line-height:150%; font-family:"Times New Roman";mso-fareast-font-family:"Times New Roman"; mso-ansi-language:TR;mso-fareast-language:TR;mso-bidi-language:AR-SA'><br clear=3Dall style=3D'page-break-before:always'> </span> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Değişken Değiştirme Tekniğ= ;i:<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Y=3Dg(X) ise dolayısıyla X=3Dg<sup>-1</s= up>(Y)<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1093" ty= pe=3D"#_x0000_t75" style=3D'width:240pt;height:51.75pt'> <v:imagedata src=3D"file5296_dosyalar/image125.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D320 height=3D69 src=3D"file5296_dosyalar/image126.jpg" v:shapes=3D"_x0000_i1093"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>X=3Dg(U,V) ve Y=3Dh(U,V) ise<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1094" ty= pe=3D"#_x0000_t75" style=3D'width:322.5pt;height:55.5pt'> <v:imagedata src=3D"file5296_dosyalar/image127.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D430 height=3D74 src=3D"file5296_dosyalar/image128.jpg" v:shapes=3D"_x0000_i1094"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1095" ty= pe=3D"#_x0000_t75" style=3D'width:219pt;height:78pt'> <v:imagedata src=3D"file5296_dosyalar/image129.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D292 height=3D104 src=3D"file5296_dosyalar/image130.jpg" v:shapes=3D"_x0000_i1095"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1096" ty= pe=3D"#_x0000_t75" style=3D'width:187.5pt;height:30.75pt'> <v:imagedata src=3D"file5296_dosyalar/image131.png" o:title=3D""/> </v:shape><![endif]--><![if !vml]><img width=3D250 height=3D41 src=3D"file5296_dosyalar/image132.jpg" v:shapes=3D"_x0000_i1096"><![endif]>= <o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'>Dağılım Fonksiyonu tekniği:<o:= p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'><span style=3D'mso-tab-count:3'>   =             &nb= sp;            </spa= n>H(y)=3DF[g<sup>-1</sup>(Y)]<span style=3D'mso-tab-count:2'>        &= nbsp;   </span>g(y) monoton artan ise<o:p></o:p></span></p> <p class=3DMsoNormal style=3D'margin-top:6.0pt;margin-right:0cm;margin-bott= om:6.0pt; margin-left:0cm;line-height:150%'><span style=3D'font-size:16.0pt;mso-bidi-= font-size: 12.0pt;line-height:150%'><span style=3D'mso-tab-count:3'>   =             &nb= sp;            </spa= n>H(y)=3D1-F[g<sup>-1</sup>(Y)]<span style=3D'mso-tab-count:1'>         = </span>g(y) monoton azalan ise<o:p></o:p></span></p> </div> </body> </html> ------=_NextPart_01C61A86.38512660 Content-Location: file:///C:/FCE71F70/file5296_dosyalar/image001.jpg Content-Transfer-Encoding: base64 Content-Type: image/jpeg /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAsICAoIBwsKCQoNDAsNERwSEQ8PESIZGhQcKSQrKigk 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