(a) Describe briefly two examples of probability distributions you know. [4 Marks] (b) List three characteristics of a Binomial distribution. [3 Marks] (c) Let A and B be events such that P (A) = 0.7, P (B) = 0.6 and P (AUB) = 0.8. Find P (AnB) and P (A'nB). [8 Marks] (d) The random variable X has the following distribution for x = 1,2,3,4. X 2 4 P(X = x) 0.02 0.35 0.53 0.10 Calculate; E(5X' + 2) and Var(4X) [10 Marks]