Solved: Suppose that X and Y are random variables and that

Chapter 6, Problem 6.4.18

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Suppose that X and Y are random variables and that X and Y are nonnegative for all points in a sample space S. Let Z be the random variable defined by Z(s) = max(X(s), Y(s forallelementss E S. Show that E(Z) :'S E(X) + E(Y).

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