a) The average time in the line. b) The average number in the line. c) The average time in the system.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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.• D.9 Neve Commercial Bank is the only bank in the town
of York, Pennsylvania. On a typical Friday, an average of 10 cus-
tomers per hour arrive at the bank to transact business. There is
currently 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. If a
single teller is used, find:
a) The average time in the line.
b) The average number in the line.
c) The average time in the system.
d) The average number in the system.
e) The probability that the bank is empty.
) 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. 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 time in half. If a second
teller is added, find the new answers to parts (a) to (e). Px
Transcribed Image Text:.• D.9 Neve Commercial Bank is the only bank in the town of York, Pennsylvania. On a typical Friday, an average of 10 cus- tomers per hour arrive at the bank to transact business. There is currently 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. If a single teller is used, find: a) The average time in the line. b) The average number in the line. c) The average time in the system. d) The average number in the system. e) The probability that the bank is empty. ) 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. 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 time in half. If a second teller is added, find the new answers to parts (a) to (e). Px
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