Independently distributed standard normal random variables

Reference no: EM13688740

LET X and Z be two independently distributed standard normal random variables. We defined another random variable Y=X^2+Z

a) Show that E(Y|X)=X^2AND E(Y)=1

B) SHOW that E(XY)=0 and this Corr (X,Y)=0

C) ARE X AND Y ARE independent? why or why not?

Reference no: EM13688740

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