Question: 45. Show that (a) E[XYY = y] = yE[XY = y] (b) E[g(X, Y)Y = y] = E[g(X,y)Y = y] (c) E[XY] = E[YE[XY]]

45. Show that

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

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

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

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