Question: 20. Let X1, X2, . . . , Xn be n independent random numbers from (0, 1), and Yn = n min(X1, X2, .

20. Let X1, X2, . . . , Xn be n independent random numbers from (0, 1), and Yn = n · min(X1, X2, . . . , Xn). Prove that lim n→∞ P (Yn > x) = e−x , x ≥ 0.

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