Suppose that Taiwan has occurrences of major typhoons for an average number of three times per year

Question:

Suppose that Taiwan has occurrences of major typhoons for an average number of three times per year and that it is well modeled by a Poisson model.

a) If a typhoon just hit Taiwan, how long after will the next hit of typhoon be?

b) What is the probability that the next typhoon will happen in the next two months?

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