Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.2 per year.   a. Find the probability​ that, in a​ year, there will be 4 hurricanes.   b. In a 45​-year ​period, how many years are expected to have 4 ​hurricanes?   c. How does the result from part​ (b) compare to a recent period of 45 years in which 7 years had 4 hurricanes? Does the Poisson distribution work well​ here?

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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.2 per year.
 
a. Find the probability​ that, in a​ year, there will be 4 hurricanes.
 
b. In a 45​-year ​period, how many years are expected to have 4 ​hurricanes?
 
c. How does the result from part​ (b) compare to a recent period of 45 years in which 7 years had 4 hurricanes? Does the Poisson distribution work well​ here?
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 We use Poisson distribution if the probability of success of an event is very small. If X is a discrete random variable with a probability mass function, p(x)=e-λλxx!; where x=0,1,.......;λ>0 then the distribution of X is called poison distribution.

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