Neve Commercial Bank is the only bank in the town of? York, Pennsylvania. On a typical? Friday, an average of 12 customers per hour arrive at the bank to transact business. There is one teller at the? bank, and the average time required to transact business is 4 minutes. It is assumed that service times may be described by the negative exponential distribution. A single line would be? used, and the customer at the front of the line would go to the first available bank teller. If a single teller is? used:
a) The average time in the line? = 16 minutes
b) The average number in the line = 3.20 customers
c) The average time in the system = 20 minutes
d) The average number in the system = 4 customers
e) The probability that the bank is empty = .20
f) CEO Benjamin Neve is considering adding a second teller (who whould work at the same rate as the first) to reduce the waiting time for customers. He assumes that this will cut the waiting time in half.
If a second teller is added, the average time a customer spends in the queue = ____ minutes (round your response to two decimal places)
If a second teller is added, the average number of customers in the queue = _____ customers (round your response to four decimal places)
If a second teller is added, the average time a customer spends in the system = _____ minutes (round your response to two decimal places)
If a second teller is added, the average number of customers in the system = ______ customers (round your response to three decimal places)
If a second teller is added, the probability that the bank is empty = _______ (round your response to two decimal places)