In: Statistics and Probability
An insurance company has determined that each week an average of 9 claims are filed in its Atlanta branch. What is the probability that during the next week at least 18 claims will be filed?
How to solve this problem without Excel? Thanks
X ~ Poi ( )
Where = 9
Poisson probability distribution is
P(X) = e-X / X!
So
P(X >= 18) = 1 - P(X <= 17)
Using probability distribution table to find P(X <= 17)
= 1 - 0.9947
= 0.0053