Question: 4.67 If the joint density function of X and Y is given by f(x, y) = 27 (x + 2y), 0 < x < 1,

4.67 If the joint density function of X and Y is given by f(x, y) =

27

(x + 2y), 0 < x < 1, 1 < y < 2, 0, elsewhere.

Find the expected value of g(X, Y ) = X Y 4 + X2Y .

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