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Q59Section C (Section C)59 of 60

Probability the second order statistic exceeds the median

Let X1,X2,…,X7X_1,X_2,…,X_7 be i.i.d. continuous random variables with median θ\theta. If X(1)<X(2)<⋯<X(7)X_{(1)}<X_{(2)}<\cdots<X_{(7)} are the corresponding order statistics, then P(X(2)>θ)\mathbb{P}\bigl(X_{(2)}>\theta\bigr) is equal to __________ (round off to 3 decimal places).

Numerical answer: type the number (no options).

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