In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. Assume the Poisson and exponential distributions.a.What is λ?b.What is μ?c.Find probability of no units in the system.d.Find average number of units in the system.e.Find average time in the waiting line.f.Find average time in the system.g.Find probability that there is one person waiting.h.Find probability an arrival will have to wait.Please show a corrct solution and answer. Thank you.

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Answered: a. What is λ? b. What is μ? c.…

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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In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. Assume the Poisson and exponential distributions.

a.	What is λ?
b.	What is μ?
c.	Find probability of no units in the system.
d.	Find average number of units in the system.
e.	Find average time in the waiting line.
f.	Find average time in the system.
g.	Find probability that there is one person waiting.
h.	Find probability an arrival will have to wait.