Question: Suppose that X1, . . . ,Xn form a random sample of size n from the uniform distribution on the interval [0, 1] and that

Suppose that X1, . . . ,Xn form a random sample of size n from the uniform distribution on the interval [0, 1] and that Yn = max {X1, . . . , Xn}. Find the smallest value of n such that
Pr{Yn ≥ 0.99} ≥ 0.95.

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