find indicated probabilities using geometric distribution, the Poisson distribut

Question

find indicated probabilities using geometric distribution, the Poisson distribution or the binomial distribution.  
major hurricane is a hurricane with major wind speeds of 111 per hour or greater, last century the mean number of major hurricane to strike a certain country's mainland per year was about 0.59. find probability that in a given year a) exactly one major hurricane will strike the mainland b) at most one major hurricane will strike the mainland, c) more than one hurricane will strike the mainland

Explanation / Answer

We know that average is 0.59. We will solve this question using poisson distribution and use poisson command on basic TI calculator

a)P(x=1)= poissonpdf(.59,1)= 0.327
b)P(x <=1)= poissoncdf(.59,1)= 0.881
c)P(x> 1) =1 - poisson(.59,1)= 0.118

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