Ononot — Let U1, U2, \dots, Un be i.i.d. \text{Uniform}(0, 1) random

Distributionshard

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Let $U_1, U_2, \dots, U_n$ be i.i.d. $\text{Uniform}(0, 1)$ random variables. Let $U_{(k)}$ be the $k$ -th order statistic. What is the variance of $U_{(k)}$ ?