ercise Let X and Y be random variables with joint pdf f(r, y) = { exp(-(x + y), if r> 0, y >0 otherwise Let (X) V =Y A (a) Show that the joint pdf for U, V is of the form f(r, y)= exp(-u- v), if (u, v) E A 0. otherwise where A is a subset of the (u, v) plane that you should determine. * (b) Find the marginal pdf of U. Dr. Asieh Abtahi - Faculty of Mathematics and Statistics -

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