SOLUTION: Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. I

Algebra ->  Probability-and-statistics -> SOLUTION: Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. I      Log On


   

Question 1042327: 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.

A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last​ century, the mean number of major hurricanes to strike a certain​ country's mainland per year was about
0.64.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 robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Poisson distribution with pmf p%28x%29+=+%28mu%29%5Ex%2Fx%21%2Ae%5E%28-mu%29+=+%280.64%29%5Ex%2Fx%21%2Ae%5E%28-0.64%29+

a) p%281%29+=+%280.64%29%5E1%2F1%21%2Ae%5E%28-0.64%29=+0.33747+, to five significant figures.

b) , to five significant figures.

c) 1 - p(0) - p(1) = 1-0.86476 = 0.13524.