What is the expected average number of snowplows in the garage (waiting for repair and being repaired)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 21P
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A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter.  The snowplows break down at an average rate of 5 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 8 vehicles per day with a repair time distribution that approximates a negative exponential distribution.  Assume an 8 hour day.

What is the expected average number of snowplows in the garage (waiting for repair and being repaired)?

5
1.04
1.67
8
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