Intro. Probability Theory – MATH 4510/5510

Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits

Ongoing course

Time: MWF 12:20 PM – 01:10 PM
Location: Zoom (First two weeks) – ECCR 108
Office hours: See details here

Grading

Homework: 25% – Weekly homework (you must turn them in)
Midterm I (02/18): 20%
Midterm II (04/01): 25%
Final (05/04) : 30%

Homework sets

Assignment 10 (Due to 04/25)
Chapter 6
6.10,6.15,6.17,6.20,6.31,6.32

Assignment 9 (Due to 04/21)
Chapter 5
Problems: 5.14,5.15,5.16,5.18,5.19,5.28
Chapter 6
Problems: 6.1,6.6,6.8

Assignment 8 (due to 04/11)
Chapter 5
Problems: 5.2, 5.4, 5.6, 5.11, 5.13

Assignment 7 (due to 04/01)
Chapter 3
3.23, 3.37, 3.58
Chapter 4
Problems 4.21,4.25,4.30,4.38,4.53
Theoretical Exercises 4.13, 4.35

Assignment 6 (due to 03/14) – Chapter 4
Problems: 4.30, 4.35, 4.38, 4.41
Theoretical Exercises: 4.7

Assignment 5 (due to 03/07)
Problems: 4.1, 4.2, 4.5, 4.13, 4.21, 4.25
Theoretical Exercises: 4.4

Assignment 4 (Due to 02/11) – Chapter 3
Problems: 13, 15, 16
Theoretical Exercises: 1,5
You must turn in all the exercises

Assignment #3 (Due to 02/04) – Chapter 2
Problems: 23, 25, 29, 35
Theoretical Exercises 13
You must turn in all the exercises

Assignment #2 (Due to Jan 28th) – Chapter 2
Problems: 1 – 11, 2*,8*,14*
Theoretical Exercises: 5*,6,11*, 12, 16
You must turn in all starred ones.

Assignment #1 (Due to Jan 21st) – Chapter 1
Problems: 2,3,4,7,10*,11,13,16*,21,22*
Theoretical exercises: 1*,8*,11*
You must turn in all starred ones.

All problems refer to our textbook (ninth edition)

Textbook