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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.

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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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1. Let X,Y be discrete random variables on a finite sample space 2. Ther discussed in class, Z= E(X|Y) is a random variable. Specifically, if Y t- the value y, then Z takes the value E(X|Y =y). (a) Show that E(Z) = EE*P(X = x,Y = y). у х Hint: Note that Z is a function of Y. Begin by applying the Law o Unconscious Statistician.
Transcribed Image Text:1. Let X,Y be discrete random variables on a finite sample space 2. Ther discussed in class, Z= E(X|Y) is a random variable. Specifically, if Y t- the value y, then Z takes the value E(X|Y =y). (a) Show that E(Z) = EE*P(X = x,Y = y). у х Hint: Note that Z is a function of Y. Begin by applying the Law o Unconscious Statistician.
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