The number of earthquake tremors in a 12-month period appears to be distributed

Question

The number of earthquake tremors in a 12-month period appears to be distributed as a Poisson random variable with a mean of 6. Assume the number of tremors from one 12-month period is independent of the number in the next 12-month period. Round your answers to four decimal places (e.g. 98.7654).

(a) What is the probability that there are 10 tremors in 1 year?
(b) What is the probability that there are 18 tremors in 2 years?
(c) What is the probability that there are no tremors in a 1-month period?
(d) What is the probability that there are more than 5 tremors in a 6-month period?

Explanation / Answer

a) poissonpdf(6,10) b) poissonpdf(12,18) c) poissonpdf(0.5,0) d) 1-poissoncdf(3,5)

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