Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 1.5 per minute. The average time to handle each is 20 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation
Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 1.5 per minute. The average time to handle each is 20 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation
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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Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 1.5 per minute. The average time to handle each is
20 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation.
Part 2
a) The probability that the operator is busy =
(round your response to two decimal places).
Part 3
b) The average time that a caller must wait before reaching the operator =
minutes (round your response to two decimal places).
minutes (round your response to two decimal places).
Part 4
c) The average number of calls waiting to be answered =
enter your response here calls (round your response to two decimal places).
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