Question: 10. In Problem 9, show that for 1 k n, the mean and variance of F(x(k)) are respectively k n + 1 and

10. In Problem 9, show that for 1 ≤ k ≤ n, the mean and variance of F(x(k)) are respectively k

n + 1 and k(n − k + 1)

(n + 1)2(n + 2)

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