9. Consider the probability space (S, M, P) defined by S = {1, 2, 3, 4, 5 } x { 1, 2, 3, 4} C R , M equals the power set of S, and the ab density function f((a, b)) = Define the following projection random variables 150 on this probability space: X: X((a, b)) = a and Y: Y((a, b)) = b. What is the marginal distribution corresponding to X? [Hint: There is a worked out example here: https://en.wikipedia.org/wiki/Marginal_distribution] Are X and Y independent? [Hint: What is the marginal distribution corresponding to Y?]