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 STAT253 - Probability and Statistics

2013-2014 Summer School

[ Topics| Course Material| Course Schedule| Resources | Announcements ]

Topics

Introduction to Probability, Basic Definitions, Axioms of Probability and Combinatorial Concept; Describing Data With Graphs; Describing Data With Numerical Measures, Describing Bivariate Data; Conditional Probability and Independence; Probability and Probability Distributions; Discrete Random Variables and Probability Distributions; Continuous Random Variables and Probability Distributions; The Normal Probability Distribution; Jointly Distributed Random Variables; Expected Values, Covariance and Correlation; Sampling Distributions; Large-Sample Estimation; Large-Sample Tests of Hypotheses; Inference From Small Samples.

Course Material

Textbooks

Essential  Text: 

(1) Mendenhall, Beaver, Beaver, Introduction to Probability and Statistics, 14th Ed., Brooks/Cole, Cengage Learning, 2013

Recommended:  

(2) Walpole, Myers, Myers, Ye, Essentials of Probability and Statistics for Engineers and Scientists, Pearson Education, 2013

(3) Sheldon Ross, A First Course in Probability, 9th Ed., Pearson, 2013/2014

 

Announcements

[2014-08-18]         2nd Midterm Exam results are announced.

[2014-07-25]         1st Midterm Exam results are announced.

[2014-07-14]         Lectures on 15th, 18th, 22nd July 2014 will start at 09:00 and end at 12:50 as four-hour lectures.

[2014-07-07]         The lectures on July 08, 2014 (Tuesday) have been postponed to a date that will be determined and announced later.

[2014-07-07]         Lecture hours rescheduled to 10:00-13:00.

[2014-06-30]         Complete data set for the exercises can be downloaded here (domain restricted access).

[2014-06-30]         Attendance is required at all class meetings. For excused absences, the student must provide an explanation to the instructor and supply supporting evidence.

 

Course Schedule

 

Tentative Schedule

Week

Lectures

Readings

Assignments

1

Tuesday

Introductory Information

Introduction to Probability, Basic Definitions, Axioms of Probability and Combinatorial Concept

Slides 

 

Mendenhall Ch.1

 

1

Friday

Describing Data With Graphs

Slides 

Sample Questions and Answers

Graphing with Excel

Mendenhall Ch.1

 

2

Tuesday

Describing Data With Numerical Measures,

Slides  

Describing Bivariate Data

Slides 

Sample Questions and Answers

Numerical Descriptive Measures in Excel

Describing Bivariate Data in Excel

Mendenhall Ch.2 and Ch.3

2

Friday

Conditional Probability and Independence

Slides 

Mendenhall Ch.4

 

3

Tuesday

Probability and Probability Distributions

Slides

Discrete Probability Distributions in Excel

Jointly Distributed Random Variables

Expected Values, Covariance and Correlation

Mendenhall Ch.3-6

3

Friday

Discrete Random Variables and Probability Distributions

Slides

Binomial and Poisson Probabilities in Excel

Mendenhall Ch.5

 

4

Tuesday

Continuous Random Variables and Probability Distributions

The Normal Probability Distribution

Slides

Normal Probabilities in Excel

Sample Questions and Answers

Mendenhall Ch.6

 

4

Friday

Midterm 1

5

Tuesday

Sampling Distributions

Slides

The Central Limit Theorem in Excel

Sample Questions and Answers

Mendenhall Ch.7

 

5

Friday

Large-Sample Estimation

Slides

Mendenhall Ch.8

 

6

Tuesday

Large-Sample Tests of Hypotheses

Slides

Mendenhall Ch.9

 

6

Friday

Midterm 2    

7

Tuesday

Inference From Small Samples

Slides

Mendenhall Ch.10

 

7

Friday

The Analysis of Variance
Slides (2pp) ⁄ (6pp)
Mendenhall Ch.11  

8

Final Exam

 

Resources

Applets (at textbook’s website)