Let $\displaystyle X$ have a Poisson distribution with parameter $\displaystyle m$. Show that

$\displaystyle P(X$ is even$\displaystyle )=(1+e^{2m})/2$

Please help me in solving the problem

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- Mar 1st 2012, 08:41 PMSuvadipPoisson Distribution
Let $\displaystyle X$ have a Poisson distribution with parameter $\displaystyle m$. Show that

$\displaystyle P(X$ is even$\displaystyle )=(1+e^{2m})/2$

Please help me in solving the problem - Mar 3rd 2012, 05:10 PMSpringFan25Re: Poisson Distribution
- May 4th 2013, 02:01 AMSuvadipRe: 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}