​a) The probability that the operator is busy​ = enter your response here ​(round your response to two decimal​ places).   ​b) The average time that a caller must wait before reaching the operator​ = enter your response here minutes​ (round your response to two decimal​ places).   ​c) The average number of calls waiting to be answered ​= enter your response here calls​ (round your response to two decimal​ places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Calls arrive at Lynn Ann​ Fish's hotel switchboard at a rate of 2.5
per minute. The average time to handle each is 10
seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation.
 
​a) The probability that the operator is busy​ =
enter your response here
​(round your response to two decimal​ places).
 
​b) The average time that a caller must wait before reaching the operator​ =
enter your response here
minutes​ (round your response to two decimal​ places).
 
​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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