# Math Help - Poisson Probability Distribution

1. ## Poisson Probability Distribution

Increased research have focused on the number of illnesses involving the E.Coli,. Sporadic outbreaks of E.coli have occurred in Colorado at a rate of approx. 2.4 per 100,000 for a period of two years.

If this rate hasn't changed and if 100,000 cases were reviewed for the year, what is the probability that at least 5 cases of E.coli will be observed?

Thanks for any help. Im not sure how to do this...

2. Find P[X>5] where x follows a Poisson(2.4) distribution.

3. Originally Posted by Sambit
Find P[X>5] where x follows a Poisson(2.4) distribution.
At least 5 cases means 5 or more cases. So one is supposed to find $P(X \geq 5)$ here.

Originally Posted by jzellt
what is the probability that at least 5 cases of E.coli will be observed?