1. Let X,Y be discrete random variables on a finite sample space 2. Then discussed in class, Z= E(X|Y) is a random variable. Specifically, if Y t then Z takes the value E(X|Y = y). the value у, (a) Show that E(Z) = EE×P(X = x,Y = y). ух Hint: Note that Z is a function of Y. Begin by applying the Law o Unconscious Statistician.

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