Show that (a) E[XY Y = y] =yE[X | Y = y] (b) Elg(X, Y) Y y]

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Show that

(a) E[XY Y = y] =yE[X | Y = y]

(b) Elg(X, Y) Y y] =E[g(x, y) Y = y]

(c) E[XY] =E[YE[|X|Y]]

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