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[Solution Library] Refer to Exercise 6.76. If Y_1, Y_2, ..., Y_n are independent, uniformly distributed random variables on the interval p0, 1], show that Y_(k),

Question: Refer to Exercise 6.76. If \(Y_{1}, Y_{2}, \ldots, Y_{n}\) are independent, uniformly distributed random variables on the interval p0, 1], show that \(Y_{(k)}\), the k-th order statistic, has a beta density function with \(\alpha=k\) and \(\beta=n-k+1\)

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