For the post office, a second drive through window is being considered. A single line would be formed and as a car reached the front of the line it would go to the next available clerk. The clerk at the new window works at the same rate as the current one.
(a) What is the average time a car is in the system?
(b) What is the average number of cars in the system?
(c) What is the average time cars spend waiting to receive service?
(d) What is the average number of cars in line behind the customer receiving service?
(e) What is the probability that there are no cars in the system?
(f) What percentage of the time are the clerks busy?
(g) What is the probability that there are exactly two cars in the system?