The number of customers entering the lobby of a bank in any 5 minute interval during the lunch hour from noon until 1 p.m. follows a Poisson process, Poisson(10).

(a) Using the uniform random outcomes above rowwise, simulate the outcomes of the number of customer arrivals for the 125 -minute intervals between noon and 1 p.m.

(b) Calculate the sample mean and variance, and compare them to the true mean and variance.