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Mean difference between two successive order statistics

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Let X1, X2, . . . , Xn be independent, uniformly distributed random variables on the interval [0, θ].

(a) Find E(X(j) - X(j-1)), the mean difference between two successive order statistics.

(b) Suppose that n = 10, and X1, . . . , X10 represent the waiting times that the n = 10 people must wait at a bus stop for their bus to arrive. Interpret the result of (a) in the context of this scenario.

Reference no: EM132854981

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