Welcome to Probability Theory! For course info and policies, please see the syllabus. For grades, log into Moodle. If you need help or have questions, please contact Prof. Wright.

**Prof. Wright's office hours:** Mon. 11–12, Tues. 1:30–2:30, Wed. 10:30–11:30, Thurs. 10–11, Fri. 12:30–1:30 (see Moodle for the Zoom link)

**Help sessions:** Tuesdays 6:30–8:00pm (see Moodle for the link)

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Today

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Friday

August 21

August 21

Introduction; what is probability?

Do the following before next class:

- Complete the Introductory Survey, if you haven't done so already.
- Read the Syllabus and complete the Syllabus Quiz.
- From the textbook, read §1.1 and §1.2, at least through page 10, and watch the accompanying video Sample Spaces, Events, and Axioms.
*Answer the three questions embedded in the video before class on Monday.* - Take a look at Homework 1, which is due Wednesday, August 26.

Monday

August 24

August 24

Sample spaces and events; axioms of probability

Do the following before next class:

- Review the solutions to the problems from class.
- Complete Homework 1 (due Wednesday).
- Read §1.3 in the textbook, and watch the accompanying video Counting Methods.
*Answer the three questions embedded in the video before class on Wednesday.*

Bonus video: John Urschel-NFL Math Whiz

Do the following before next class:

- Review the solutions to the problems from class.
- Begin Homework 2 (due Monday).
- Watch the video Four Types of Couting Problems and answer the questions embedded in the video before class on Friday.

Friday

August 28

August 28

More counting methods

Do the following before next class:

- Review the solutions to the problems from class.
- Finish Homework 2 (due Monday).
- Watch the video Conditional Probability and answer the questions embedded in the video before coming to class on Monday. Also read the examples in §1.4 in the textbook.

Do the following before next class:

- Review the solutions to the problems from class.
- Begin Homework 3 (due Friday).
- Watch the video Independence and answer the questions embedded in the video before coming to class on Wednesday. Also read §1.5 in the textbook.

Wednesday

September 2

September 2

Independence

Bonus video: Hannah Fry — Beautiful equations: how insects walk on water and galaxies form

Do the following before next class:

- Review the solutions to the problems from class.
- Begin Homework 3 (due Friday).
- Watch the video Simulation of Random Events and answer the questions embedded in the video before coming to class on Friday. Also read §1.6 in the textbook.
- On Friday, we meet in RNS 410. Wear your face mask, and bring your computer with R or Mathematica.

Do the following before next class:

- Please complete the Week 3 Survey. Answers are voluntary and anonymous.
- Watch the video Discrete Random Variables and answer the questions embedded in the video before coming to class on Monday. Also read §2.1 and §2.2 in the textbook.
- Begin Homework 4 (due Wednesday).

Monday

September 7

September 7

Random variables; discrete distributions

Do the following before next class:

- Please complete the Week 3 Survey, if you haven't done so already. Answers are voluntary and anonymous.
- Watch the video Expected Value and Standard Deviation and answer the questions embedded in the video before coming to class on Wednesday. Also read §2.3 in the textbook.
- Finish Homework 4 (due Wednesday).

Bonus video: Yitang Zhang: An Unlikely Math Star Rises

Do the following before next class:

- Review the solutions from the problems in class, especially those involving Chebyshev's Inequality.
- Watch the video The Binomial Distribution and answer the questions embedded in the video before coming to class on Friday. Also read §2.4 in the textbook.
- Begin Homework 5 (due Monday).

Friday

September 11

September 11

Binomial distribution

Do the following before next class:

- Review the solutions from the problems in class.
- Watch the video The Poisson Distribution and answer the questions embedded in the video before coming to class on Monday. Also read §2.5 in the textbook.
- Finish Homework 5 (due Monday).
- Take a look at Homework 6 (due Wednesday).

Do the following before next class:

- Complete Homework 6 (due Wednesday).
- Review the Exam 1 Information. Talk with Prof. Wright if you have any questions.

Bonus video: Moon Duchin: "Political Geometry"

Work on Exam 1. Complete it before class on Monday. You may either hand in your exam at class on Monday, or submit your work electronically using this Moodle assignment link.

Friday

September 18

September 18

**Exam 1:**take-home, covering sections 1.1 through 2.4 in the textbook

(no class meeting today)

Do the following before next class:

- Finish Exam 1. You may either hand in your exam at class on Monday, or submit your work electronically using this Moodle assignment link.
- Watch the video The Hypergeometric Distribution and answer the questions embedded in the video. Also read §2.6.1 in the textbook.

Monday

September 21

September 21

Hypergeometric distribution

Do the following before next class:

- Video and reading to be announced.
- Begin Homework 7 (due Friday).

Wednesday

September 23

September 23

Negative binomial and geometric distributions

Do the following before next class:

- Video and reading to be announced.
- Finish Homework 7 (due Friday).

Friday

September 25

September 25

Moment-generating functions

Homework 7

due at 5pm

due at 5pm

Do the following before next class:

- Video and reading to be announced.

Monday

September 28

September 28

Moment-generating functions

Do the following before next class:

- Video and reading to be announced.

Wednesday

September 30

September 30

Simulation of discrete random variables

Homework 8

due at 5pm

due at 5pm

Do the following before next class:

- Video and reading to be announced.

Friday

October 2

October 2

Continuous random variables; uniform distribution

Do the following before next class:

- Video and reading to be announced.

Monday

October 5

October 5

Expected values of continuous distributions

Homework 9

due at 5pm

due at 5pm

Do the following before next class:

- Video and reading to be announced.

Wednesday

October 7

October 7

Normal distribution

Do the following before next class:

- Video and reading to be announced.

Friday

October 9

October 9

Exponential distribution

Homework 10

due at 5pm

due at 5pm

Do the following before next class:

- Video and reading to be announced.

Monday

October 12

October 12

Gamma distribution

Do the following before next class:

- to be announced

Wednesday

October 14

October 14

Review day

Homework 11

due at 5pm

due at 5pm

Do the following before next class:

- to be announced

Friday

October 16

October 16

**Exam 2**

Do the following before next class:

- to be announced

Monday

October 19

October 19

Transformations of continuous random variables

Do the following before next class:

- to be announced

Wednesday

October 21

October 21

Joint distributions

Do the following before next class:

- to be announced

Friday

October 23

October 23

Expected values, covariance, and correlation

Do the following before next class:

- To be announced

Monday

October 26

October 26

Linear combinations of random variables

Do the following before next class:

- to be announced

Wednesday

October 28

October 28

Properties of linear combinations

Do the following before next class:

- to be announced

Friday

October 30

October 30

Conditional distributions and expectation

Do the following before next class:

- to be announced

Monday

November 2

November 2

Limit theorems

Do the following before next class:

- to be announced

Wednesday

November 4

November 4

Limit theorems

Do the following before next class:

- to be announced

Friday

November 6

November 6

Transformations: distribution function method

Do the following before next class:

- to be announced

Monday

November 9

November 9

Bivariate tranformation theorem

Do the following before next class:

- to be announced

Wednesday

November 11

November 11

Order statistics

Do the following before next class:

- to be announced

Friday

November 13

November 13

Catch up

Do the following before next class:

- to be announced

Monday

November 16

November 16

Review

Final exam information will be posted.

Thursday

November 19

November 19

Final exam

2:00 – 4:00pm

2:00 – 4:00pm