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 10:20 AM – 11:10 AM**Location:** Zoom**Office hours:** See details here

Grading

**Homework:** 25% – Weekly homework (you must turn them in)**Midterm I (02/15): ** 20%**Midterm II (04/14):** 25%**Final (to be announced) :** 30%

Homework sets

*Homework #*3 (turn in the bold ones)

Chapter 2 (8th, 9th and 10th editions)*Problems:* **3, 38, 48***Theoretical Exercises:* **13,15**.

Due to 02/15

*Homework #2* (turn in the bold ones)

Chapter 2 (8th, 9th and 10th editions)*Problems:* 1 – 11, **2,8,14***Theoretical Exercises:* **5**,6,**11**, 12, 16

Due to 02/07

*Homework #1: *You must turn in the bold ones

From Chapter 1*Problems :* 1 to 11. Turn in problem **4***Theoretical exercises:* 3,4,**5**,6,**8***Due to 01/29*

*All problems refer to our textbook.*

Textbook

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Course notes

## Conditional Probability – Part II – MATH 4510/5510

Introduction to conditional probability

## Conditional Probability – Part I – MATH 4510/5510

Introduction to conditional probability

## Midterm I – Review I – MATH 4510/5510

Comments about Midterm I and theoretical review

## Probability as a measure of belief – MATH 4510/5510

Probability as a measure of belief

## Probability measure as a continuous set function – MATH 4510/5510

Probability measure as a continuous set function. Increasing and decreasing events.

## Sample spaces with equally likely outcomes – MATH 4510/5510

Sample spaces with equally likely outcomes

## Basic Principle of Counting – MATH 4510/5510

(Generalized) Basic Principle of Counting and Permutations

## Introduction to the course – MATH 4510/5510

General comments about probability theory and our course!