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2.Raw computation question. Let X and Y be two random variables with the joint density f(x, y) = 2 - - x 1 +

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2.Raw computation question. Let X and Y be two random variables with the joint density f(x, y) = 2 - - x 1 + 2y 8(e7/41) 4(e7/4 - 1) where 0 x 2 - 2 and 1 y e7/4. a) Please calculate the marginal distribution of X and Y, i.e. fx(x) and fy(y). b) Are X and Y independent? c) Find E[X\Y = e] and P(X 1, Y > e).

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