question on pmf of a poisson

Jul 2015
564
14
United States
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
Hint: Consider $\frac{p_{k+1}}{p_k}$.