Answered: Which component has the highest…

Which component has the highest probability of functioning for the life of the system if the target lifetime is 20,000 hours? What about a target lifetime of 24,000 hours?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

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Question

Two components are being considered for use in building a system in your manufacturing plant. The lifetime of component 1 is modeled by a normal random variable with mean 20,000 hours and standard deviation of 5000 hours (ignore the fact the this model can technically give negative values for lifetime - that probability is practically zero). The lifetime of component 2 is also a normal random variable but with mean 22,000 hours and standard deviation 1000 hours. Which component has the highest probability of functioning for the life of the system if the target lifetime is 20,000 hours? What about a target lifetime of 24,000 hours?

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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