Let X have a Poisson distribution with parameter λ. Show that P[X is even] = (1+e^2λ)/2
Follow Math Help Forum on Facebook and Google+
Originally Posted by jayantamath 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.
View Tag Cloud