find the indicated probabilities using the geometric distribution or poisson dis

Question

find the indicated probabilities using the geometric distribution or poisson distribution. then determine if the events are unusual. A major hurricane is a hurricane with the speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certina mainland per years was about 0.67. 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. Round to three decimal places

Explanation / Answer

poisson distribution with mean m has the formula P[x] = e^-m *m^x/x! q1 m = 6 a. P[5] = e^-6 *6^5/5! = .1606

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