Suppose that X and Y have a joint pdf f (x, y) = (2/3)(x + 1), for 0 < x < 1,0 < y < 1 zero otherwise. (a) Find fx(x) (b) Find fy (у) (c) Find f(y|x) (d) Find P(X < 2Y < 3X) (e) Are X and Y independent? (f) Find E(Y|X) (g) Find Var(Y) (h) Find Var(E(Y|X)) (i) Find E(Var(Y|X))

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