Find the indicated probabilities using the geo distribution or poisson distribut

Statistics
Tutor: None Selected Time limit: 1 Day

Then determine if the events are unusual. If convenient, use the poisson probability table or technology to find the probabilities.
A major hurricane is a hurricane with a wind speed of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain countries mainland per year was about 0.53. Find the probability that in a given year.

(a) exact one major hurricane will strike the mainland a) P(X=1) =
(b) at most one major hurricane will strike the main land a) P(X=1) =

(c) more that one major hurricane will strike the mainland c) P(X>1)=

Mar 25th, 2015

P(exactly one major hurricane strike)=

P ( x=1 | mean =0.53) = exp(-0.53) * 0.53^1 /1! = 0.311961

P(at most one major hurricane strike)=

P( x<=1 |mean =0.53) = exp(-0.53)+exp(-0.53) *0.53^1/1! = 0.588605+0.311961 = 0.900566

P( more than one major hurricane strike)=

P( x>1 | mean =0.53) = 1-p(x<=1 | mean =0.53) = 1-0.900566= 0.099434

Mar 25th, 2015

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Mar 25th, 2015
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Mar 25th, 2015
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