32. Let X 1 , . . ., X n be independent uniform (0, 1) random variables....
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32. Let X1, . . ., Xn be independent uniform (0, 1) random variables. Let R = X(n) - X(1) denote the range and M = [X(1) + X(n)]/2 the midrange.
Compute the joint density function of R and M.
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