# Math 3332: Probability (Fall 2021)

## General Information

Instructor: Mikhail Lavrov
Location: Crawford Lab 154.
Lecture times: 3:30pm-4:45pm on Monday and Wednesday.
Textbook: Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik, available online at https://www.probabilitycourse.com/.
Office hours: 2:15pm to 3:15pm on Monday and Wednesday, in my office - Mathematics 245. (Also, feel free to ask me questions after class ends.)
D2L page: https://kennesaw.view.usg.edu/d2l/home/2394321.

More information is available on D2L, where I will post the syllabus, homework assignments, and more.

## Homework and Exams

There will be eight homework assignments, two midterm exams, and one final exam; the dates are marked below.

I will post the homework assignments here and on D2L; they are always due on Friday at 11:59pm, via D2L.

Exams will be given in person during our ordinary 75-minute class period. (At least that's the current plan. I will update this schedule and send the class an email if the plan changes.)

## Detailed Schedule

• Date
Textbook section
Other details
• Mon 8/16
1.3.1-1.3.2 Random experiments

• Wed 8/18
1.3.3 Finding Probabilities

• Mon 8/23
1.3.4-1.3.5 Discrete, Continuous Models

• Wed 8/25
1.4 Conditional Probability
HW 1 due Friday
• Mon 8/30
1.4.2 Law of Total Probability

• Wed 9/1
1.4.3 Bayes' Rule

• Mon 9/6
No class

• Wed 9/8
11.2 Discrete-Time Markov Chains
HW 2 due Friday
• Mon 9/13
2.1.1-2 Ordered Sampling

• Wed 9/15
2.1.3 Unordered without Replacement

• Mon 9/20
2.1.4 Unordered with Replacement

• Wed 9/22
3.1 Random Variables
HW 3 due Friday
• Mon 9/27
Exam 1

• Wed 9/29
3.2.2 Expectation

• Mon 10/4
3.1.5 Special Distributions

• Wed 10/6
3.2.3 Functions of Random Variables
HW 4 due Friday
• Mon 10/11
3.2.4 Variance

• Wed 10/13
5.1 Two Discrete Random Variables

• Mon 10/18
5.1.3 Conditioning and Independence

• Wed 10/20
5.3.1 Covariance and Correlation
HW 5 due Friday
• Mon 10/25
6.1.3 Moment Generating Functions

• Wed 10/27
6.2 Probability Bounds

• Mon 11/1
Exam 2

• Wed 11/3
4.1 Continuous Random Variables
HW 6 due Friday
• Mon 11/8
4.1.1 Probability Density Function

• Wed 11/10
4.1.2 Expected Value and Variance

• Mon 11/15
4.1.3 Functions of Random Variables

• Wed 11/17
4.3 Mixed Random Variables
HW 7 due Friday
• Mon 11/22
No class

• Wed 11/24
No class

• Mon 11/29
5.2 Two Continuous Random Variables

• Wed 12/1
5.2.3 Conditioning and Independence

• Mon 12/6
11.1 Poisson processes
HW 8 due Monday
• Wed 12/8
No class
Study!
• Mon 12/13
Final Exam (3:30-5:30pm)