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Problem 3. Let Y be uniform on 0,, 10 and Z be uniform on 0, 10 . Let Xi = max(5, min(Y, 7)). Find the CDF of Xi. . Compute VarX . Let X2 = max(5, min(Z, 7)). Find the CDF of X2. What kind of random variable discrete, continuous, or neither) is X1? What about X2? Briefly explain your answer.
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