Let the joint density of (X,Y) be f (x,y) = x+y for 0 < x 1,0
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Let the joint density of (X,Y) be f (x,y) = x+y for 0 < x ≤ 1,0 ≤ y ≤ 1, and =0 otherwise. Find the conditional density f (y|x), and E{Y |X}. At which x does the regression function m(x) = E{Y |X = x} attain its maximum? Find E{X |Y}.
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