Let x and z be two independently distributed standard
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?
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