I have to find the probability of a Poisson distributed problem where the average rate of success is 40 and I need to find the probability of something being > 50.
Normally I'd just either add the probabilities together manually or look at Poisson probability tables.
But adding 50 probability calculations together manually takes a while. And the tables only go up to 15.
So how do you find the probability when you are dealing with "large" numbers.