Billy's Bank is the only bank in a small town in Arkansas. On a typical Friday, an average of 10 customers per hour arrives at the bank to transact business. There is one single teller at the bank, and the average time required to transact business is 4 minutes. It is assumed that service times can be described by the exponential distribution. Although this is the only bank in town, some people in the town have begun using the bank in a neighboring town about 20 miles away. If a single teller at Billy's 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.
Billy's Bank is the only bank in a small town in Arkansas. On a typical Friday, an average of 10 customers per hour arrives at the bank to transact business. There is one single teller at the bank, and the average time required to transact business is 4 minutes. It is assumed that service times can be described by the exponential distribution. Although this is the only bank in town, some people in the town have begun using the bank in a neighboring town about 20 miles away. If a single teller at Billy's 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Billy's Bank is the only bank in a small town in
Arkansas. On a typical Friday, an average of 10
customers per hour arrives at the bank to transact
business. There is one single teller at the bank, and
the average time required to transact business is
4 minutes. It is assumed that service times can be
described by the exponential distribution. Although
this is the only bank in town, some people in the
town have begun using the bank in a neighboring
town about 20 miles away. If a single teller at Billy's
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.
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