Let X and Y be random variables with joint pdf f (r, v) = { texp(-을(z + y), if z > 0,y > 0 otherwise Let U = (X-Y), V =Y (a) Show that the joint pdf for U, V is of the form f(z, y) = {2 exp(-u-v), if...

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Extracted text: Let X and Y be random variables with joint pdf f (r, v) = { texp(-을(z + y), if z > 0,y > 0 otherwise Let U = (X-Y), V =Y (a) Show that the joint pdf for U, V is of the form f(z, y) = {2 exp(-u-v), if (u, v) EA otherwise %3D where A is a subset of the (u, v) plane that you should determine. * (b) Find the marginal pdf of U.