### Relative frequency of a over n independent trials

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When we perform an experiment, event A occurs with probability P[A] = 0.01. In this problem, we estimate P[A] using (A), the relative frequency of A over n independent trials

(a) How many trials n are needed so that the interval estimate

Has confidence coefficient 1 - α = 0.99?

(b) How many trials n are needed so that the probability n(A) differs from P[A] by more than 0.1% is less than 0.01?

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