# Repeat Exercise 3.10 if there are only 10 customers allowed in the system. Exercise 3.10 Customers..

Repeat Exercise 3.10 if there are only 10 customers allowed

in the system.

Exercise 3.10

Customers arrive to a service center according to a Poisson

process with a rate of 30 per hour. Service times are exponentially distributed

with a mean of 12 minutes. a. What is the minimum number of servers required

for system stability? b. Using your answer in (a), what is the probability that

the system is empty? c. What is the average waiting time in the queue? d. What

is the probability that a customer will wait in the queue for more than 10

minutes?