Let X and Y have the joint pdf: x+y, 0, fx,y(x, y) = {{ 0≤x≤ 1,0 ≤ y ≤ 1; otherwise. (a) Determine the marginal probability density function of Y [fy (y)] (b) Determine P(X+Y<1/2) (c) Determine E(X)

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A: Solution: From the given information, the joint probability density function of X and Y is

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Q: (a) Var(X + Y ) = Var(X)+ Var(Y) (b) Ε(XY) - (EX) (EYΥ) (c) E(X + Y ) = EX+ EY

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