6 The results of a survey by a large supermarket show that \(35 \%\) of its customers shop online.
- Six customers are chosen at random. Find the probability that more than three of them shop online.
- For a random sample of \(n\) customers, the probability that at least one of them shops online is greater than 0.95 . Find the least possible value of \(n\).
- For a random sample of 100 customers, use a suitable approximating distribution to find the probability that more than 39 shop online.