For the past102 years, a certain state suffered 34 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.)

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Asked Dec 10, 2019
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For the past
102 years, a certain state suffered 34 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.)
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Expert Answer

Step 1

It is given that in the past 102 years, there are 34 direct hits from major hurricanes.

Thus, Number of hurricanes per ...

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-2 ;x = 0,1,2... P(X = x) = х! ; Otherwise.

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