For the past 111 years, a certain state suffered 23 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). (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? The probability is (Round to four decimal places as needed.) Is this unusual? O No O Yes (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.) Does this indicate that the hurricane season several years ago in this state was unusual? O No O Yes (d) What is the probability that the state will be hit by at least two major hurricanes in a single year, as happened last year? The probability is (Round to four decimal places as needed.) Does this indicate that the hurricane season this year in this state was unusual?

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