What is the probability that the state will not be hit by any major hurricanes in a single​ year?   The probability is enter your response here. ​ (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   (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? 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?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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).
 
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Part 1
​(a) What is the probability that the state will not be hit by any major hurricanes in a single​ year?
 
The probability is
enter your response here.
​ (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

 

(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?

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?

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