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3. [Joint probability distribution] The joint pdf of random variables X, Y is given by cry r, y 2 0, Osatys2 fxx (x, y) =

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3. [Joint probability distribution] The joint pdf of random variables X, Y is given by cry r, y 2 0, Osatys2 fxx (x, y) = 0 else (a) Find c. (b) Find the marginal pdf fx (x). (c) Find E [X] and Var (X). (d) Find the marginal pdf fy (y). (e) Find E [Y] and Var (Y)

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