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The conditional PDF of X given Y is (x - y)2 fxly (xly) = exp V2TT 2 and Y is a uniform random variable in

The conditional PDF of X given Y is (x - y)2 fxly (xly) = exp V2TT 2 and Y is a uniform random variable in [0, 1]. (a) Find the marginal PDF of X. (You can keep your answer in integral form) (b) Find E[X ] and Var(X )

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