Automobiles arrive at the drive-through Window at the downtown Springfield PNC Bank in Philadelphia suburb. The customers arrive in their cars every ten minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.
a. What is the average time a customer waits in the car trying get their needs met?
b. What is the average numbers of customers in the system?
c. What is the average number of cars waiting to receive the 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 at the window?
f. What percentage of the time is the teller at the drive-in window busy?
g. What is the probability that there are exactly two cars in the system?
h. What is the probability that there are more than three cars in the system?