Z = (X, Y) f Z (x, y) = 4/5 ( 2 x y

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Z = (X, Y) ∼ fZ(x, y) = 4/5 ( 2 − x − y3) for ∫x, y ∈ [0, 1]. Find the marginal probabilities fx and fy, the covariance σxy, and determine whether X and Y are independent.

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