Question

What are the mean and standard deviation of a probability density function given by `Pr(X=k) = (14^ke^-14)/(k!)` for `k in {0,1,2... oo}`?

Answer 1

This is the Poisson distribution with `lamda=14`

Explanation:

The mean and variance of the Poisson distribution is `lamda`

So for this problem ...

`mu=sigma^2=14`

Standard Deviation `=sqrt(lamda)=sqrt14`

hope that helped