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Exercise 1 ((1 + 1 + 1 + 2) + (1 + 1 + 1 + 2) pts.). Joint Distributions Recap. 1. Let (X , Y) be two r.v. with joint p.n1.f. described by the following table Y In\" X n--- (a) What is the marginal distribution of X? (b) Are X and Y independent? ) ) (c What is the conditional p.1n.f. of X given Y = 0? (d What is the distribution of ]E[X|Y]? 2. Let (X, Y) be two r.v. with joint p.d.f. law/96'\" if0