Find the indicated probabilities using the geometric distribution or the Poisson distribution. Then determine if the events are unusual. If convenient use the Poisson probability table or technology to find the answer
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 countries mainland per year was about 0.60. 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.
(A) P(exactly one major hurricane will strike the mainland)
(B) P(at most one major hurricane will strike the mainland)
(C) P(more than one major hurricane will strike the mainland)