Let X and Y be discrete r.v.s. (a) Use 2D LOTUS (without assuming linearity) to show

Chapter 7, Problem 36

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Let X and Y be discrete r.v.s. (a) Use 2D LOTUS (without assuming linearity) to show that E(X+Y ) = E(X)+E(Y ). (b) Now suppose that X and Y are independent. Use 2D LOTUS to show that E(XY ) = E(X)E(Y

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