2. (20 pts) Let the joint p.m.f. of X and Y be defined by f(x, y) = 3x + y 45 x = 1, 2, 3 y = 1,2 a) Find P(X - Y ≥ 1) b) Find the marginal pmf of Y. c) Find the conditional pmf of X given Y = 1. d) Find E(X|Y = 1).

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