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Q3: Suppose that X and Y are random variables on (0, F, P) and let A E F. We set Z(w) = X(w) for all

Q3: Suppose that X and Y are random variables on (0, F, P) and let A E F. We set Z(w) = X(w) for all w E A and Z(w) = Y(w) for all w E Ac. Prove that Z is a random variable

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