The number of typhoons hitting an area is a Poisson process with rate = 2.5 hurricanes per year. (a) Find the probability that the area will be affected by at least three hurricanes in space (i) of three months, (ii) of one year. (b) Calculate the probability that, within the next 10 years, it will there will be exactly 3 years in each of which the region will be affected by at least three hurricanes.