1. Suppose X is a random variable that takes values on {0, 0.01, 0.02, ... ,0.99, 1}. If each outcome is equally likely, find (a) P(X 0.33). (b) P(0.55 X 0.66).

2. Suppose X is a random variable that takes values on all positive integers. Let A = {2 X 4}andB = {X 4}. Describe the events (i)Ac; (ii)Bc; (iii)AB; and (iv) A B.