Question

What are the mean and standard deviation of a probability density function given by `Pr(X=k) = (18^ke^-18)/(k!)` for `k in {0,1,2... oo}`?

Answer 1

This is the Poisson distribution with `lamda=18`

Explanation:

The mean and variance of the Poisson distribution are both equal to `lamda`

`mu=lamda=18`
`sigma=sqrt(lamda)=sqrt18=3sqrt2~~4.243`

hope that helped