For the past 106 years, a certain state suffered 25 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? Yes No (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? Yes No
For the past 106 years, a certain state suffered 25 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
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?
Yes
No
(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?
Yes
No
(d) What is the probability that the state will be hit by at least two major hurricanes in a single year, as happened lastyear?
The probability is
(Round to four decimal places as needed.)
Does this indicate that the hurricane season this year in this state was unusual?
Yes
NO
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