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Order statistics. Suppose X,..., X100 are independent and uniformly distributed on (0,1). (a) Find the probability the 25th smallest variable is less than 0.20.

Order statistics. Suppose X,..., X100 are independent and uniformly distributed on (0,1). (a) Find the probability the 25th smallest variable is less than 0.20. (b) Find E[X (95)] and V[X(95)]. (c) The range of a set of numbers is the difference between the maximum and the minimum. Find the expected range.

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