1. Suppose that X is a random variable that takes on values 0, 2 and 3 with probabilities 0.3, 0.1, 0.6 respectively. Let Y = 3(X — 1)² . (a) What is the expectation of X? (b) What is the variance of X? (c) What is the expectation of Y? (d) Let Fy (y) be the cumulative density function of Y. What is Fy (7)?