A manufacturing facility has 15 CNC machines on site. The length of a machine job is modeled as an exponential random variable with a mean length of 6.2 hours. If all machines are currently full, and there are 10 jobs waiting to be machined that are ahead of you in line, how many hours will your job be waiting before the machining process begins?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A manufacturing facility has 15 CNC machines on site. The length of a machine job is modeled as an
exponential random variable with a mean length of 6.2 hours. If all machines are currently full, and
there are 10 jobs waiting to be machined that are ahead of you in line, how many hours will your job be
waiting before the machining process begins?
Transcribed Image Text:A manufacturing facility has 15 CNC machines on site. The length of a machine job is modeled as an exponential random variable with a mean length of 6.2 hours. If all machines are currently full, and there are 10 jobs waiting to be machined that are ahead of you in line, how many hours will your job be waiting before the machining process begins?
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