# Poisson Distribution

• March 1st 2012, 08:41 PM
Poisson Distribution
Let $X$ have a Poisson distribution with parameter $m$. Show that
$P(X$ is even $)=(1+e^{2m})/2$

• March 3rd 2012, 05:10 PM
SpringFan25
Re: Poisson Distribution
Quote:

Let $X$ have a Poisson distribution with parameter $m$. Show that
$P(X$ is even $)=(1+e^{2m})/2$
for the avoidance of doubt, i assume you are using the standard notation for a poisson distribution, so $m~ \epsilon (0,\infty]$.