2 The number of printing errors per page in a book is modelled by a Poisson distribution with a mean of 0.85 .
- State conditions for a Poisson distribution to be a suitable model for the number of printing errors per page.
- A page is chosen at random. Find the probability of
(A) exactly 1 error on this page,
(B) at least 2 errors on this page.
10 pages are chosen at random. - Find the probability of exactly 10 errors in these 10 pages.
- Find the least integer \(k\) such that the probability of there being \(k\) or more errors in these 10 pages is less than \(1 \%\).
30 pages are chosen at random.
- Use a suitable approximating distribution to find the probability of no more than 30 errors in these 30 pages.