Question: question 4.30, page 195, from the book Statistical Inference second edition, George Casella and Roger L.Berger Suppose the distribution of Y, conditional on X=x, is

question 4.30, page 195, from the book Statistical Inference second edition, George Casella and Roger L.Berger

Suppose the distribution of Y, conditional on X=x, is n(x,x^2) and that the marginal distribution of X is Uniform(0,1)

a) Find EY, Var Y, and Cov(X,Y)??

please help me in this question with detailed answer.

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