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 STAT2053 - Probability and Statistics

2017-2018 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, The Analysis of Variance (ANOVA).

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

[2018-06-08]         All results (exams, quizes, homework) are announced.

[2018-05-24]         Students' Attendance (till May 24, 2018) is announced.

[2018-05-24]         Homework-2 results (along with others) are announced.

[2018-05-21]         Midterm, quizzes and homework results are announced.

[2018-05-21]         Students' Attendance (till May 20, 2018) is announced.

[2018-05-13]         Homework-2 is submitted. Please download the dataset (and zipped version) for the homework.

[2018-04-06]         Homework-1 is submitted. Please download the dataset for the homework.

[2018-03-28]         Students' Attendance (until Midterm date) is announced. The students who do not take the midterm exam are listed here.

[2018-03-22]         Students' Attendance (till March 20, 2018) is announced.

[2018-03-22]         Quiz results are announced.

[2018-02-03]         A brief guide on preparing homework deliverables with R.

[2018-02-03]         R statistical tool will be used in lectures and assignments. Please download the recent version from R website.

[2018-02-03]         Quizzes are scheduled on Tuesday lectures.

[2018-02-03]         Complete data set for the exercises can be downloaded here (domain restricted access).

[2018-02-03]         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

Mendenhall Ch.1

 

2

Describing Data With Graphs

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

Graphing with Excel

Mendenhall Ch.1

Assignment 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

Example for Bayes Theorem
Assignment 2:

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

6

Discrete Random Variables and Probability Distributions

Slides (2pp)(6pp)

Binomial and Poisson Probabilities in Excel

Mendenhall Ch.5

 Assignment 3:

7

Continuous Random Variables and Probability Distributions

The Normal Probability Distribution

Slides (2pp)(6pp)

Normal Probabilities in Excel

Mendenhall Ch.6

Quiz-3

8

Midterm

9

Sampling Distributions

Slides (2pp)(6pp)

The Central Limit Theorem in Excel

Sample Questions and Answers - 1

Sample Questions and Answers - 2

Mendenhall Ch.7

Assignment 4:

10

Large-Sample Estimation

Slides (2pp)(6pp)

Mendenhall Ch.8

Quiz-4

11

Large-Sample Tests of Hypotheses

Slides (2pp)(6pp)

Mendenhall Ch.9

 Assignment 5:

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)

R - Statistical Tool 

A Short Guide for R