Course 4203/5203: Mathematical Probability

Fall 2006

Contact Details: Dr. Ayona Chatterjee, Room 326, Boyd Building

Email: achatter@westga.edu

Office Phone # 678-839-4142

Office Hours: Tuesday Thursday 12:30pm to 2:00 pm and 3:30pm-5:00pm

                         Wednesday  - 11:00 am to 3:00 pm

                         Any change in office hours will be notified in class

 

Course Number: MATH 4213/5213

Course Title: Mathematical Probability

Hours Credit: 3 hours

Prerequisites: MATH 2853 and 3063

Course Description: A calculus based statistics course with a strong emphasis on probability theory. Exercises are both theoretical and applied, including both discrete and continuous probability distributions such as the Binomial, Geometric, Hypergeometric, Poisson, Normal, Beta and Gamma. The course provides the underlying theory and mathematically derived techniques of Statistics.

Text: Mathematical Statistics with Applications (Seventh Edition)

Author: John E. Freund

Learning Outcomes: Students should be able to demonstrate:

  1. Recognize and describe discrete and continuous random variables
  2. Find probabilities associated with discrete and continuous random variables
  3. Use the notation and the language associated with probability
  4. Use basic rules of probability
  5. Use expected value to find the mean and variance of discrete and continuous random variables
  6. Understand the interplay of probability and statistical inference
  7. Apply Central Limit Theorem.

 

 

 

 

 

 

Syllabus

 

2.1 Introduction

2.2 Sample Spaces

2.3 Events

2.4 Probability of an Event

2.5 Some Rules of Probability

2.6 Conditional Probability

2.7 Independent Events

2.9 The Theory in Practice

 

Chapter 3: Probability Distributions and Probability Densities

                        All sections

 

Chapter 4: Mathematical Expectation

                        All sections

 

5.3 Bernoulli Distribution

5.4 Binomial Distribution

5.5 Negative Binomial and Geometric Distribution

5.6 Hypergeometric Distribution

5.7 Poisson Distribution

5.8 Multinomial Distribution

 

6.2 Uniform Distribution

6.3 Gamma, Exponential and Chi-Square Distributions

6.4 The Beta Distribution

6.5 The Normal Distribution

 

 

 

 

 

Grading:

 

40% test scores + 40% quiz scores + 20% project

 

Grading Scale: