- #1

zzod

- 2

- 0

In a certain town, crimes occur at a Poisson rate of 2.4 per month (i.e. according to a Poisson process with a rate of 2.4 per month). What is the probability of having exactly 2 months (not necessarily consecutive) with exactly 4 crimes during the next year? Assume that every month has the same length.

I know that first you have to find the probability of 4 crimes in 2 months using Poisson distribution then use binomial distribution to answer the question. But I'm not sure how to do the first part! >.<