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?