Problem 1 Suppose that X and Y are random variables with the following joint distribution \\Y=2 \\ Y=4 \\ Y=sy 0.20 0.10 0.05 0.15 0.20 0.10 0.10 0.05 0.05 X 2 X=3 X 4 Table 1: Caption 1. Compute the following quantities: (a) P(X = 2) (b) P(Y = 4) (c) P(X = Y) ((1) P(Y = 4\\X = 2) (e) P(X = 2'Y = 4) (f) E$p(X) (g) E$p(Y). 2. What is the probability distribution for the random variable X + Y? 3. Compute Exp(X + Y) directly from its probability distribution