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QUESTION
Where X, Y, and Z are random variables, and a and b are constants, assume that we also know the following: Y = a+bX (1) fX,Z($=Z) fX($)fZ(Z) (2)
Where X, Y , and Z are random variables, and a and b are constants,
Where X, Y, and Z are random variables, and a and b are constants, assume that we also knowthe following: Y = a+bX (1)fX,Z($=Z) fX($)fZ(Z) (2) (where fX,z(:c, z), fX(x), and fz(z) show the joint distribution of X and Z, marginal distributionof X, and marginal distribution of Z, respectively.) Answer the following questions, using the provided information: i.) E[Y|X]=? (show your work) (Hint: You need to use the information provided in Equation—1). ii.) E[X|Z]=? Explain in words. (Hint: You need to use the information provided in Equation—2).