A finite population waiting line model with N = 5 has an average arrival rate of 1/2 customer per hour and a mean service rate of 5 customers per hour.What is the probability the system is empty?
A)5.64
B)0.56
C)0.056
D).2
E)1.00

Question

Quizplus · Accepted Answer

The probability the system is empty is given by:P0 = (1 - rho)^Nwhere rho is the traffic intensity, which is given by:rho = lambda / muwhere lambda is the average arrival rate and mu is the mean service rate.In this case, lambda = 1/2 and mu = 5, so:rho = 1/2 / 5 = 0.1Therefore,P0 = (1 - 0.1)^5 = 0.56

A Finite Population Waiting Line Model with N = 5