(i)[3]
Six customers are selected at random. Find the probability that more than three of them buy online.
(ii)[3]
In a random sample of $n$ customers, the probability that at least one of them shops online is above $0.95$. Determine the smallest possible value of $n$.
(iii)[5]
In a random sample of $100$ customers, use an appropriate approximating distribution to find the probability that more than $39$ shop online.