Find the indicated probabilities using the geometric distribution or Poisson distribution. Then determine if the events are unusual. If convenient, use a Poisson probability table tor technology to find the probabilities.
A newspaper finds that the mean number of typographical errors per page is three. Find the probability that:
(a) Exactly five typographical errors are found on a page,
(b) At most five typographical errors are found on a page, and
(c) More than five typographical errors are found on a page.