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Suppose the number of earthquakes in a given year has Poisson distribution with mean 2, and that the occurrence of earthquakes in any given year

Suppose the number of earthquakes in a given year has Poisson distribution with mean 2, and that the occurrence of earthquakes in any given year is independent of that in any other year.

(a)Find the probability that there are at least 3 earthquakes in a 2-year period.

(b)Find the probability that there are between 2 and 6 earthquakes in a 2-year period.

(c)Find the probability that there are at least 5 earthquakes in a 3-year period.

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