SOLUTION: For a recent period of 100 years, there were 125 major earthquakes in a particular region. Assume that the Poisson distribution is a suitable model. (Please round your answers t

Question 1130732: For a recent period of 100 years, there were 125 major earthquakes in a particular region. Assume that the Poisson distribution is a suitable model.
(Please round your answers to four decimal place of necessary. Thank you)
a. Find the mean number of major earthquakes per year.
b. What is the probability distribution for the number of earthquakes in a randomly selected year: 0, 1, 2, 3, 4, 5, and 6 or more?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. is 125/100 or 1.25 per year mean
b. is poisson distribution
p(0)=e^(-1.25)*1.25^0/0!, which is e^(-1.25)=0.2865
p(1)=e^(-1.25)1.25^1/1!, which is 0.3581
p(2)=e^(-1.25)1.25^2/2!=0.2238
p(3)=e^-1.25)1.25^3/3!=0.0933
p(4)=0.0291
p(5)=0.0073
p(6) or more is 1- the above sum or 0.0019
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