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On average, 2 damaging earthquakes occur in a certain country every 5 years. Assume the occurrence of earthquakes is a Poisson process in time. a)Determine

On average, 2 damaging earthquakes occur in a certain country every 5 years.

Assume the occurrence of earthquakes is a Poisson process in time.

a)Determine the probability of getting 1 damaging earthquake in 3 years.

b)Determine the probability of no earthquakes in 3 years.

c)What is the probability of at most 2 earthquakes in one year?

d)What is the probability of having at least 1 earthquake in 5 years?

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