Unless stated otherwise in the exercise, use software to find the exact Poisson.
Question
5.55
5.55Calculator convenience.
Suppose that follows a Poisson distribution with mean .
Show that .
Show that for any whole number .
Suppose . Use part (a) to compute .
Part (b) gives us a nice calculator convenience that allows us to multiply a given Poisson probability by a factor to get the next Poisson probability. What would you multiply the probability from part (c) by to get ? What would you then multiply by to get ?