Continue with the previous exercise. Suppose that Xi has the Uniform[0, 1] distribution. Show that X(i)

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Continue with the previous exercise. Suppose that Xi has the Uniform[0, 1]

distribution. Show that X(i) ∼ Beta(i, n − i + 1), 1 ≤ i ≤ n, and therefore obtain the mean and variance of R for n = 2m − 1.

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