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