For the past 110 ?years, a certain state suffered 28 direct hits from major? (category 3 to? 5) hurricanes. Assume that this was typical and the number of hits per year follows a Poisson distribution. Complete parts? (a) through? (d). Can this problem be done on
?a) What is the probability that the state will not be hit by any major hurricanes in a single? year?
The probability is ?
(Round to four decimal places as? needed.)
?b) What is the probability that the state will be hit by at least one major hurricane in a single? year?
Round to four decimal places as? needed.)
c) What is the probability that the state will be hit by at least three major hurricanes in a single? year, as happened several years? ago?
The probability is
?Round to four decimal places as? needed.)