If X and Y are independent and identically distributed exponential variables with parameter = 2, compute each of the following joint densities. (a) U = 4X, V = 2X/Y. -2ul fur(u,v)- = ue -2x√(+3) 2v 212 (b) U = 2X+Y, V = 4X/(X + Y). fu,v (u,v) = 16u -2(x-4) vu ν e (4-v)2 O

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