Matthew L. Wright
Assistant Professor, St. Olaf College

Probability Theory

Math 262 ⋅ Fall 2022

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Thursday
September 8
What is probability? Sample Spaces and Events
Do the following before next class:
Tuesday
September 13
Axioms of Probability; Permutations and Combinations
Do the following before next class:
  • Review the solutions to the problems from class.
  • Re-read §1.3 in the textbook.
  • Watch the video Four Types of Couting Problems and answer the questions embedded in the video before class on Thursday.
  • Work on Homework 1. Try to finish the problems from §1.1 and §1.2.
Thursday
September 15
Do the following before next class:
  • Review the solutions to the problems from class.
  • Watch the video Conditional Probability and answer the questions embedded in the video before coming to class on Tuesday. Also §1.4 in the textbook, paying special attention to the examples.
  • Read §1.5 in the textbook. Watch the video Independence and answer the questions embedded in the video before coming to class on Tuesday.
  • Finish Homework 1. Write your solutions clearly and neatly. Upload your solutions to Homework 1 on Moodle.
Tuesday
September 20
Conditional Probability and Independence

Bonus video: John Urschel-NFL Math Whiz

Do the following before next class:
  • Review the solutions to the problems from class.
  • Watch the video Simulation of Random Events and answer the questions embedded in the video before coming to class on Thursday. Also read §1.6 in the textbook.
  • If possible, bring a computer with Mathematica or R to class on Thursday.
  • Begin Homework 2. This homework is due next Tuesday, but it's important to start early.
Thursday
September 22
Independence; Simulation of random events
Do the following before next class:
  • Review the solutions to the problems from class.
  • Watch the video Discrete Random Variables and answer the questions embedded in the video before coming to class on Tuesday. Also read §2.1 and §2.2 in the textbook.
  • Watch the video Expected Value and Standard Deviation and answer the questions embedded in the video before coming to class on Tuesday. Also read §2.3 in the textbook.
  • Finish Homework 2. Write your solutions clearly and neatly. Upload your solutions to Homework 2 on Moodle.
Tuesday
September 27
Random variables, discrete distributions, and expected value

  MSCS Tailgate Party: Wednesday, September 28, 4:30–6:30pm in RNS 150 and outside

Do the following before next class:
  • Watch the video The Binomial Distribution and answer the questions embedded in the video before coming to class on Thursday. Also read §2.4 in the textbook.
  • Begin Homework 3...
Thursday
September 29
Chebyshev's Inequality and the Binomial Distribution
Do the following before next class:
  • Review the solutions from the problems in class, especially those involving Chebyshev's Inequality.
  • Watch the video The Poisson Distribution and answer the questions embedded in the video before coming to class on Tuesday. Also read §2.5 in the textbook.
  • Watch the video The Hypergeometric Distribution and answer the questions embedded in the video. Also read §2.6.1 in the textbook.
  • Finish Homework 3...
Tuesday
October 4
The Poisson and Hypergeometric Distributions
Homework 3
due

  Oct. 4: Math Across the Cannon featuring Satyan Devadoss colloquium 3:30pm at Carleton; public lecture 7pm in Viking Theater

Do the following before next class:
  • to be determined...
Thursday
October 6
Hypergeometric Distribution; Review
Do the following before next class:
  • Review the Exam 1 Information. Study for the exam.
Tuesday
October 11
Exam 1: covering sections 1.1 through 2.4 in the textbook
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Thursday
October 13
The Negative Binomial Distribution
Enjoy fall break! No class October 18.
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Thursday
October 20
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Tuesday
October 25
Simulation of discrete random variables; Begin continuous random variables
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Thursday
October 27
Expected values of continuous distributions
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Tuesday
November 1
Normal and exponential distributions
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Thursday
November 3
Exponential and Gamma distributions
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Tuesday
November 8
Exam 2: covering sections 2.1 through 3.4 in the textbook
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Thursday
November 10
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Tuesday
November 15
Joint Distributions and Expected Values
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Thursday
November 17
Covariance and correlation; Linear Combinations
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Tuesday
November 22
Linear combinations of random variables
Have a Thanksgiving! No class November 24.
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Tuesday
November 29
Conditional distributions and expectation; Central Limit Theorem???
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Thursday
December 1
Limit Theorems
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Tuesday
December 6
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Thursday
December 8
Order statistics
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Tuesday
December 13
Review day
Homework 10 due
Complete the take-home exam problems. Bring your solutions to the in-class exam on Friday. Study for the in-class exam.
Monday
December 19
Final Exam 9:00–11:00am