Question 1165098: Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.
During the last century, the mean number of major hurricanes to strike a certaincountry’s mainland per year was about
0.68. Find the 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, and (c) more than one major hurricane will strike the mainland.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Uncommon events with no upper limit, could theoretically be infinite and are proportional to time.
Poisson distribution with parameter lambda=0.68
exactly 1 hurricane is e^-0.68*0.68^1/1!=0.3445 probability
at most 1 means 1 or 0, and probability of 0 is e^(-0.68)=0.5066
that sum is 0.8511 and is the answer to b
c is the complement, since at most 1 and more than 1 form a dichotomy. The answer is 1-0.8511=0.1489
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