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?