Question: Let X and Y be discrete random variables with joint proba- bility mass function P(X= a,Y= b) = ab/20, if a{1,2,3},b{1,2}, 0, if (a,b) /

Let X and Y be discrete random variables with joint proba- bility mass function P(X= a,Y= b) = ab/20, if a{1,2,3},b{1,2}, 0, if (a,b) / {1,2,3}{1,2}. (a) Find the function (y) = E[X|Y= y] for the values y such that P(Y= y) >0. (b) Compute the probability mass function of the random variable Z= E[X|Y]

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