A critical piece of equipment operating at an arctic base has an engine, transmission and power-take off (PTO) units. For it’s mission, all three units must be functional, otherwise the equipment is unusable. Under typical temperatures, the probabilities failure in 5 years are 0.07, 0.03 and 0.02. Under extreme cold, the probabilities increase to 0.10, 0.05 and 0.03 respectively. The equipment is expected to be operated in extreme cold 20% of the time and normal temperatures the remainder of the time. If the transmission fails, the probability that the PTO unit fails is doubled.

A critical piece of equipment operating at an arctic base has an engine, transmission and power-take off (PTO) units. For it’s mission, all three units must be functional, otherwise the equipment is unusable. Under typical temperatures, the probabilities failure in 5 years are 0.07, 0.03 and 0.02. Under extreme cold, the probabilities increase to 0.10, 0.05 and 0.03 respectively. The equipment is expected to be operated in extreme cold 20% of the time and normal temperatures the remainder of the time. If the transmission fails, the probability that the PTO unit fails is doubled.

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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