Ononot — Consider the order statistics X{(1)} < X{(2)} < \dots < X{(n

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Consider the order statistics $X_{(1)} < X_{(2)} < \dots < X_{(n)}$ for a sample of size $n$ from $Uniform(0, 1)$ . What is the variance of the sample range $R = X_{(n)} - X_{(1)}$ ?