Question

Suppose that the number of customers that enter a bank in an hour is a Poisson

random variable, and suppose that 𝑃(𝑋 = 0) = 0.05. Determine the mean and

standard deviation of 𝑋.

Answer 1

$\mu =-ln(0.05)=3.0$

$\sigma=\sqrt{-ln(0.05)}=1.73$