# Thread: Poisson Distribution

1. ## Poisson Distribution

Let $\displaystyle X$ have a Poisson distribution with parameter $\displaystyle m$. Show that
$\displaystyle P(X$ is even$\displaystyle )=(1+e^{2m})/2$

2. ## Re: Poisson Distribution

Originally Posted by Suvadip
Let $\displaystyle X$ have a Poisson distribution with parameter $\displaystyle m$. Show that
$\displaystyle P(X$ is even$\displaystyle )=(1+e^{2m})/2$

for the avoidance of doubt, i assume you are using the standard notation for a poisson distribution, so $\displaystyle m~ \epsilon (0,\infty]$.