Homework 0.1

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Early: September 10, 2008
Due: September 12, 2008

Objectives

This assignment is designed to:

  • remind you of some essential probability theory
  • help you become more fluent with the terminology and the techniques

Think of this as a mathematics homework assignment. Show your work. Be clear and concise.

I strongly recommend you work through these exercises as soon as possible and get your feet wet now for their instructional content. If you have general questions about the assignment, please post to the class forum on http://blackboard.byu.edu. Finish early, and earn the bonus.

Exercises

  1. [10 points; 2 per sub‐problem] M&S exercise 2.1
  2. [5 points] M&S exercise 2.3
  3. [5 points] M&S exercise 2.4
  4. [5 points] For an arbitrary joint probability distribution on six random variables P(X1, X2, X3, X4, X5, X6), apply the chain rule to factor this distribution. (Note: there are many possible such factorings. Choose one.)
  5. [10 points] Conditional Probability:
    • What is the definition of conditional probability?
    • Apply this definition to prove Bayes’ Law.




Updated September 3, 2008

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