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A mechanic for Tom's Towing makes minor repairs to tow trucks after they suffer breakdowns. Tom operates a large fleet of tow trucks (essentially infinite). The trucks break down at an average rate of 5 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic has an average repair time of 1 hour with a distribution that approximates a negative exponential distribution. Assume an 8-hour day.

A mechanic for Tom's Towing makes minor repairs to tow trucks after they suffer breakdowns. Tom operates a large fleet of tow trucks (essentially infinite). The trucks break down at an average rate of 5 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic has an average repair time of 1 hour with a distribution that approximates a negative exponential distribution. Assume an 8-hour day.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A mechanic for Tom's Towing makes minor repairs to tow trucks after they suffer breakdowns. Tom operates a large fleet of tow trucks (essentially infinite). The trucks break down at an average rate of 5 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic has an average repair time of 1 hour with a distribution that approximates a negative exponential distribution. Assume an 8-hour day.
Transcribed Image Text:A mechanic for Tom's Towing makes minor repairs to tow trucks after they suffer breakdowns. Tom operates a large fleet of tow trucks (essentially infinite). The trucks break down at an average rate of 5 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic has an average repair time of 1 hour with a distribution that approximates a negative exponential distribution. Assume an 8-hour day.
The mechanic's utilization is: O 0.29 0.375 O 0.625 O 0.71 O 0.875 Question 32 What is the average number of tow trucks in the garage (waiting for repair and being repaired)? O1 O 1.04 O1.67 2.5
Transcribed Image Text:The mechanic's utilization is: O 0.29 0.375 O 0.625 O 0.71 O 0.875 Question 32 What is the average number of tow trucks in the garage (waiting for repair and being repaired)? O1 O 1.04 O1.67 2.5
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