COMP 150PGM - Spring 2011 - Homework 1

Now due in class on February 7 due to snow

1. Exercise 2.5 on page 39
2. Find the conditional version of the two-variable chain rule: P(A, B | C) = ...
   You can do this by adding a conditioning variable to the ordinary chain rule, or looking at what happens after the first step of the chain rule.
3. Find the conditional version of the three-variable chain rule: P(A, B, C | D) = ...
4. Prove the "weak union" property (Formula 2.9 on page 25). You will probably find 2 and 3 above helpful.