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, find: 1. The average time in line 2. The average number in the line 3. The average time in the system
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, find:
1. The average time in line
2. The average number in the line
3. The average time in the system
4. The average number in the system
5. The probability that the bank is empty
6. CEO Benjamin Neve is considering a second teller (who would work at the same rate as the first) to reduce waiting time for customers. A single line would be used, and the customer at the front of the line would go to the first available bank teller. He assumes that this will cut the waiting line in half. If the second teller is added, find the new answers to #1 through 6.
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