Home Research Publications Courses Students Services Research Groups Biography & Resume

 

 STAT253 - Probability and Statistics

2013-2014 Spring

[ 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

[2014-06-02]         Final Exam results are announced.

[2014-05-23]         Quiz-6 and Homework results are announced.

[2014-04-29]         Quiz results are announced.

[2014-04-11]        Midterm exam results are announced.

[2014-03-31]        Homework-4 due time has been updated to April 15, 2014.

[2014-03-24]        Quiz-3 has been postponed to March 31, 2014.

[2014-03-16]        Assignments submitted. Please check the due dates at the course schedule table.

[2014-03-11]         Quiz-2 results are announced.

[2014-03-02]         Quiz-1 results are announced.

[2014-02-10]         Quizzes are scheduled on Monday lectures.

[2014-02-10]         Complete data set for the exercises can be downloaded here (domain restricted access).

[2014-02-10]         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

Introductory Information (2pp)(6pp)

 

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


Slides (2pp)(6pp)

Mendenhall Ch.1

 

2

Describing Data With Graphs

Slides (2pp)(6pp)
Sample Questions and Answers

Graphing with Excel

Mendenhall Ch.1

 

3

Describing Data With Numerical Measures,

Slides (2pp)(6pp)

Describing Bivariate Data

Slides (2pp)(6pp)

Sample Questions and Answers

Numerical Descriptive Measures in Excel

Describing Bivariate Data in Excel

Mendenhall Ch.2 and Ch.3

Quiz-1

4

Conditional Probability and Independence

Slides (2pp)(6pp)

Mendenhall Ch.4

 

5

Probability and Probability Distributions

Slides (2pp)(6pp)

Discrete Probability Distributions in Excel

Jointly Distributed Random Variables

Expected Values, Covariance and Correlation

Mendenhall Ch.3-6

Quiz-2

Assignment 1: Are your dishes really clean?  (Due date: March 21)

Data Set

6

Discrete Random Variables and Probability Distributions

Slides (2pp)(6pp)

Binomial and Poisson Probabilities in Excel

Mendenhall Ch.5

Assignment 2:
A mystery: Cancers near a Reactor  (Due date: March 25)

7

Continuous Random Variables and Probability Distributions

The Normal Probability Distribution

Slides (2pp)(6pp)

Normal Probabilities in Excel

Mendenhall Ch.6

Assignment 3: Curving the grades  (Due date: March 31, 2014)

8

Sampling Distributions

Slides (2pp)(6pp)

The Central Limit Theorem in Excel

Sample Questions and Answers - 1

Sample Questions and Answers - 2

Mendenhall Ch.7

Quiz-3

Assignment 4: Do you dare to play roulette at Monte_Carlo?  (Due date: April 04, 2014  April 15, 2014 )

9

Midterm

10

Large-Sample Estimation

Slides (2pp)(6pp)

Mendenhall Ch.8

Assignment 5:

11

Large-Sample Tests of Hypotheses

Slides (2pp)(6pp)

Mendenhall Ch.9

Quiz-4

12

Large-Sample Tests of Hypotheses

Slides (2pp)(6pp)

Mendenhall Ch.9

Quiz-5

13

Inference From Small Samples

Slides (2pp)(6pp)

Mendenhall Ch.10

Assignment 6:

14

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

15

Final Exam

 

Resources

Applets (at textbook’s website)