Probability and Random Variables

Week 02, Spring 2022

Summary

This week will be a whirlwind recap and review of probability and random variables. In a perfect world, you would have already learned most of if not all of this content already. Because this week is mostly review, it will be a lot of content.

Learning Objectives

After completing this week, you are expected to be able to:

  • Use basic rules of probability including Bayes’ Theorem.
  • Understand the definition of a random variable.
  • Calculate probabilities given the distribution of a random variable.
  • Identify independence and use independence to carry out probability calculations.
  • Understand and use conditional and marginal distributions.
  • Perform transformations of random variables.
  • Use the d*, p*, q* and r* functions for probability calculations in R.

Reading

Source Section
Wasserman 1.1 - 1.7
Wasserman 2.1 - 2.12
Evans and Rosenthal 1.1 - 1.6
Evans and Rosenthal 2.1 - 2.10
Marden 1.1 - 1.6
Marden 3.1 - 3.4
Marden 4.1 - 4.4
Marden 5.1 - 5.6
Marden 6.1 - 6.8
Marden 7.1 - 7.8

Video

Title and Slides Link Mirror
2.0 - Welcome to Week 02! 2.0 - YouTube 2.0 - ClassTranscribe
2.1 - Probability 2.1 - YouTube 2.1 - ClassTranscribe
2.2 - Random Variables 2.2 - YouTube 2.2 - ClassTranscribe
2.3 - Many Random Variables 2.3 - YouTube 2.3 - ClassTranscribe

Assignments

Office Hours

Staff and Link Day Time
Zoom with David Monday 3:00 PM - 4:00 PM
Zoom with Eugene Monday 9:00 PM - 10:00 PM
Zoom with Eugene Thursday 12:00 PM - 1:00 PM
Zoom with David Thursday 5:00 PM - 7:00 PM
Discussion Forum Any! Any!

Additional Information