Question: 2 . ( 6 points ) Use queueing theory. Extreme Muffler Shop has decided to open a second garage bay and hire a second mechanic

2.(6 points) Use queueing theory.
Extreme Muffler Shop has decided to open a second garage bay and hire a second mechanic to handle
installations. Customers arrive at the rate of \lambda =3 per hour and will wait in a single line until one of the two
mechanics is free. Each mechanic installs mufflers at the rate of \mu =6 per hour. Compute the operating
characteristics of the c=2 server system by calculating the following.
a. What is the probability that there are no cars in the system?
b. What is the average number of cars in the system?
c. What is the average time a car is in the system?
d. What is the average number of cars waiting to receive service?
e. What is the average time a car is in the queue?
f. Is this a stable system (Yes or No)? Why or why not?

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