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 drop-in hours:** typically Mon. 1–2pm, Tues. 1:30–2:30pm, Wed. 11am–noon, Thurs. 10–11am, and Fri. 9–10am in RMS 405. Check Google Calendar for up-to-date availability, or email to schedule an appointment.

Top

Today

Bottom

Friday

September 8

September 8

Introduction; what is probability?

Do the following before next class:

- Complete the Introductory Survey, if you haven't done so already.
- Read the Syllabus.
- 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.*The first time you access videos for this course, you might need to use the "Panopto Course Videos" link on the MATH 262 Moodle page. - Take a look at Homework 1, which is due Wednesday.

Monday

September 11

September 11

Sample spaces and events; axioms of probability

Do the following before next 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: Paths to Math: John Urschel

- 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

September 15

September 15

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.

Bonus video: Eugenia Cheng on The Late Show

Do the following before next 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 20

September 20

Independence

Do the following before next class:

- Finish 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.
- If possible, bring a computer with Mathematica or R to class on Friday.

Do the following before next class:

- 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 25

September 25

Random variables; discrete distributions

Bonus: Why is Mathematics Useful — Robert Ghrist, and Applied Dynamical Systems Vol. 1

Do the following before next class:

- Review the solutions to the problems from class.
- 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).

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).
- Read the Exam 1 Information. Begin reviewing what you learned from Chapter 1 in our textbook.

Friday

September 29

September 29

Binomial distribution

Do the following before next 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).
- Read the Exam 1 Information. Study for the exam.

Do the following before next class:

- Review the problems and solutions from class.
- Complete Homework 6. This homework will not be collected, but it is important for your own practice as you prepare for Exam 1.
- Review the Exam 1 Information.

Complete the take-home exam problems. Bring your solutions to the in-class exam on Friday.

Friday

October 6

October 6

**Exam 1:**covering sections 1.1 through 2.4 in the textbook

Do the following before next class:

Monday

October 9

October 9

Hypergeometric distribution

Do the following before next class:

Wednesday

October 11

October 11

Negative binomial and geometric distributions

Do the following before next class:

Friday

October 13

October 13

Moment-generating functions

Homework 7

due at 5pm

due at 5pm

Have a great Fall Break! No class October 16.

Do the following before next class:

Wednesday

October 18

October 18

Moment-generating functions

Do the following before next class:

Friday

October 20

October 20

Simulation of discrete random variables

Homework 8

due at 5pm

due at 5pm

Do the following before next class:

Monday

October 23

October 23

Continuous random variables; uniform distribution

Do the following before next class:

Wednesday

October 25

October 25

Expected values of continuous distributions

Homework 9

due at 5pm

due at 5pm

Do the following before next class:

Friday

October 27

October 27

Normal distribution

Do the following before next class:

Do the following before next class:

Wednesday

November 1

November 1

Gamma distribution

Do the following before next class:

Friday

November 3

November 3

Transformations of continuous random variables

Homework 11

due at 5pm

due at 5pm

Do the following before next class:

Monday

November 6

November 6

Simulation of continuous random variables

Do the following before next class:

Wednesday

November 8

November 8

Review day

Homework 12

due at 5pm

due at 5pm

Complete the take-home exam problems. Bring your solutions to the in-class exam on Wednesday.

Friday

November 10

November 10

**Exam 2**: covering sections 2.1 through 3.7 in the textbook

Monday

November 13

November 13

Joint distributions

Do the following before next class:

Wednesday

November 15

November 15

Expected values, covariance, and correlation

Do the following before next class:

Friday

November 17

November 17

Linear combinations of random variables

Homework 13

due at 5pm

due at 5pm

Do the following before next class:

Monday

November 20

November 20

Properties of linear combinations

Have a great Thanksgiving! No class November 22 or 24.

Do the following before next class:

Monday

November 27

November 27

Conditional distributions and expectation

Homework 14

due at 5pm

due at 5pm

Do the following before next class:

Wednesday

November 29

November 29

Limit theorems

Do the following before next class:

Do the following before next class:

Monday

December 4

December 4

Transformations (cdf method)

Do the following before next class:

Wednesday

December 6

December 6

Bivariate tranformation theorem

Homework 16

due at 5pm

due at 5pm

Do the following before next class:

Friday

December 8

December 8

Order statistics

Do the following before next class:

Monday

December 11

December 11

Review day

Homework 17

due at 5pm

due at 5pm

Complete the take-home exam problems. Bring your solutions to the in-class exam on Friday. Study for the in-class exam.

Friday

December 15

December 15

**Final Exam 9:00–11:00am**