For the past 104 ?years, a certain state suffered 27 direct hitsfrom major? (category 3 to? 5) hurricanes. Assume that this wastypical and the number of hits per year follows a Poissondistribution. Complete parts? (a) through? (d). a) What is theprobability that the state will not be hit by any major hurricanesin a single? year? The probability is nothing.? (Round to fourdecimal places as? needed.) ?(b) What is the probability that thestate will be hit by at least one major hurricane in a single?year? The probability is nothing. ?(Round to four decimal placesas? needed.) Is this? unusual? Yes No ?(c) What is the probabilitythat the state will be hit by at least three major hurricanes in asingle? year, as happened last? year? The probability is nothing.?(Round to four decimal places as? needed.) Does this indicate thatthe 2004 hurricane season in this state was? unusual?
