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Math Help - poisson distribution

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    poisson distribution

    Let X have a Poisson distribution with parameter λ. Show that P[X is even] = (1+e^2λ)/2
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    Quote Originally Posted by jayantamath View Post
    Let X have a Poisson distribution with parameter λ. Show that P[X is even] = (1+e^2λ)/2
    Substitute x = 2n into the pmf and sum over n (you will need to recognise a standard power series).

    If you need more help, please show all your working and say where you get stuck.
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