Given that x has a Poisson distribution with u16 what is the

Given that x has a Poisson distribution with u=1.6, what is the probability that x=5?

Solution

P(X=x)=(u^x/x!)e^-u

^ssubstitute u=1.6 and x=5

hence

=(7⁵/5!)e^-5

=(16807/120)e^-5

=140.1e^-5