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Q5 (13 points) Let X and Y have joint pdf f (x, y) = 4e-2(x+y); 0 Q5 (13 points) Let X and Y have joint

Q5 (13 points) Let X and Y have joint pdf f (x, y) = 4e-2(x+y); 0

Q5 (13 points) Let X and Y have joint pdf f (x, y) = 0 < x < 00, 0 < y < 00, and zero otherwise. (a) Find the joint pdf of U = X/Y and V = X. [5 marks] (b) Find E(U). [5 marks] (c) Is U independent of V? Justify your answer. [3 marks]

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