Question: 18. Let X and Y be continuous random variables with joint probability density function f (x, y) = B n(n 1)(y x)n2 if

18. Let X and Y be continuous random variables with joint probability density function f (x, y) = B n(n − 1)(y − x)n−2 if 0 ≤ x ≤ y ≤ 1 0 otherwise. Find the conditional expectation of Y given that X = x.

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