# What are the mean and standard deviation of a probability density function given by #Pr(X=k) = (12^ke^-12)/(k!) # for #k in {0,1,2... oo}#?

##### 1 Answer

Apr 26, 2016

mean

standard deviation

#### Explanation:

Probability of events for a Poisson distribution

An event can occur 0, 1, 2, … times in an interval. The average number of events in an interval is designated

The mean is equal to the variance

mean

and standard deviation

God bless....I hope the explanation is useful.