Problem

Let X and Y have the joint density a. Find Cov(X, Y ) and the correlation o...

Let X and Y have the joint density

a. Find Cov(X, Y ) and the correlation of X and Y .

b. Find E(X|Y = y) and E(Y |X = x).

c. Find the density functions of the random variables E(X|Y ) and E(Y |X).

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