A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater....

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 0.59 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.

Solutions

Expert Solution

p = 0.59

The binomial distribution needs to be used when we are interested in the number of successes among a fixed number of trials.

The geometric distribution needs to be used when we are interested in the occurrence of the first success.

The Poisson distribution needs to be used when we are interested in the number of successes over a certain (time) internal.
In this case, we are interested in the number of success in one year (interml=one year) and thus we need to use the Poisson distribution.

orchestra answered 1 year ago

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