Question: 14. Let X1, X2, . . . , Xn be identically distributed, independent, exponential random variables with parameters 1, 2, . . . , n.

14. Let X1, X2, . . . , Xn be identically distributed, independent, exponential random variables with parameters λ1, λ2, . . . , λn. Prove that E



min(X1, . . . ,Xn)



< min

????

E(X1), . . . ,E(Xn)



.

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