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Q109Section III (Statistics)109 of 190

The minimum of nn iid exponentials is exponential with mean θ/n\theta/n

Suppose X1,X2,X3X_1,X_2,X_3 are independent and identically distributed random variables each having exponential distribution with mean θ\theta. Suppose Y1,Y2,Y3Y_1,Y_2,Y_3 is the corresponding order statistics. Then, E(Y1)E(Y_1) is:

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