Question: Let X and Y be random variables, such that Y | X = a: e N(:r,1'2) with X 6 Mode). (a) Compute EY, Var? and

Let X and Y be random variables, such that Y | X = a: e N(:r,1'2) with X 6 Mode). (a) Compute EY, Var?\" and Gov (X, Y}. (1)) Determine the distribution of the vector (X, Y)'. (o) Determine the (posterior) distribution of X | Y = y

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