# Poisson Distribution

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

Please help me in solving the problem
• March 3rd 2012, 05:10 PM
SpringFan25
Re: Poisson Distribution
Quote:

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

Please help me in solving the problem

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

if so, the proposition is false. Your solution gives probabability >1 for sufficiently large values of m.
• May 4th 2013, 02:01 AM
Suvadip
Re: Poisson Distribution
Ya the question was wrong, though the same question was set in an university exam. Anyway, I think it will be e^{-2m} in place of e^{2m}