M math951 Jul 2015 559 14 United States Thursday at 2:59 PM #1 Show that the pmf of a poisson(lambda) r.v. is first increasing and then decreasing, similar to binomial distr. for what range of values is the pmf increasing?

Show that the pmf of a poisson(lambda) r.v. is first increasing and then decreasing, similar to binomial distr. for what range of values is the pmf increasing?

Walagaster MHF Helper Apr 2018 219 143 Tempe, AZ Friday at 2:39 PM #2 Hint: Consider $\frac{p_{k+1}}{p_k}$.