Neve Commercial Bank is the only bank in the town of? York, Pennsylvania. On a typical? Friday, an average of 8 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 3 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? = minutes? (round your response to two decimal? places).
?b) The average number in the line? = customers? (round your response to two decimal? places).
?c) The average time in the system? = minutes? (round your response to two decimal? places).
?d) The average number in the system? = customers? (round your response to two decimal? places).
?e) The probability that the bank is empty? = (round your response to two decimal? places).
?f) CEO Benjamin Neve is considering adding a second teller? (who would 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? =