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3. Now the bomb arrives. Please catch fx,y(x, y) = = cx cx - dy, where 0 < x < 1, 0 y x.

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3. Now the bomb arrives. Please catch fx,y(x, y) = = cx cx - dy, where 0 < x < 1, 0 y x. 13 a) Please find coefficients c, d such that cd= 8 b) Please find fx(x) and fy (y). Are X and Y independent? c) Please find E[X], E[Y], Var(X), Var(Y), Var(X + Y), E[XY] d) What is the E(X|Y = 0.5)

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