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411概率简单数值题short

Probability Involving the Third Order Statistic

题目

Let X1,X2,X3,X4X_1, X_2, X_3, X_4 be independent Uniform(0,1)\operatorname{Uniform}(0,1) random variables. Compute P(X(3)<0.5)P(X_{(3)} < 0.5), where X(3)X_{(3)} is the third smallest.

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