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In: Math

Let X and Z be two independently distributed standard normal random variables and let Y=X2+Z. iShow...

Let X and Z be two independently distributed standard normal random variables and let Y=X2+Z.

iShow thatE(Y|X) =X2

iiShow thatμY= 1

iiiShow thatE(XY) = 0ivShow that cov(X,Y) = 0 and thus ρX,Y= 0

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