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Let f(x, y) = 1/2 , y < x < 2, 0 ≤ y ≤ 2...

Let f(x, y) = 1/2 , y < x < 2, 0 ≤ y ≤ 2 , be the joint pdf of X and Y .

(a) Find P(0 ≤ X ≤ 1/3) .

(b) Find E(X) .

(c) Find E(X|Y = 1) .

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