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Please see the problem in the attachment. Let X , Y and Z be independent random variables that are uniformly distributed over [0, 1]. (a)

Please see the problem in the attachment.

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Let X , Y and Z be independent random variables that are uniformly distributed over [0, 1]. (a) Compute the probability that Y falls in between X and Z. (b) Compute the probability that the largest of the three is greater than the sum of the other two. (0) Let M be the sum of the largest and the smallest of the three. Find the PDF of M

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