# Math Help - Poisson Distribution

1. ## Poisson Distribution

Records show that the probability is 0.0012 that a person will get food poisoning spending a day at a certain state fair. Use the poisson approximation to the binomial distribution to find the probability that among 1,000 persons attending the fair at most two will get food poisoning.

2. Muliply n and p to get your mean, lambda.
In this case lambda is (.0012)(1000)=1.2.
Now at most two implies 0 or 1 or 2.
Plug those three numbers into the poisson distribution and add those probabilities.
These approximations are quite good.
I prove them for a living.