Find the indicated probabilities using the geometricdistribution, the Poissondistribution, or the binomial distribution. Then determine if the events are unusual. Ifconvenient, use the appropriate probability table or technology to find the probabilities.

A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the lastcentury, the mean number of major hurricanes to strike a certaincountry's mainland per year was about 0.58. Find the probability that in a given year

(Round to three decimal places asneeded.)

(a) P(exactly one major hurricane will strike themainland) =

(b) P(at most one major hurricane will strike themainland) =

(c) P(more than one major hurricane will strike the mainland) =