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 major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about 0.57.Find the probability that in a given year:
(a) exactly one major hurricane will strike the mainland,
(b) at most one major hurricane will strike the mainland, and
(c) more than one major hurricane will strike the mainland.