Suppose that random variables X and Y are independent with marginal pdfs f X (x) = 2x,

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Suppose that random variables X and Y are independent with marginal pdfs fX (x) = 2x, 0 ≤ x ≤ 1, and fY (y) = 3y2, 0 ≤ y ≤ 1. Find P(Y < X).

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