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Guaranteed life of a machine lifetime in hours of a certain component of a machine has the ty function -x/1000 f(x) = x ≥ 0. 1000 machine contains five similar components, the lifetime of e bution. The makers are considering offering a guarantee that no al components will have to be replaced during the first 1000 ability that such a guarantee would be violated, assuming that th endently, and that if a component does fail then the replacement quality and will certainly last for the 1000 hours.

Guaranteed life of a machine lifetime in hours of a certain component of a machine has the ty function -x/1000 f(x) = x ≥ 0. 1000 machine contains five similar components, the lifetime of e bution. The makers are considering offering a guarantee that no al components will have to be replaced during the first 1000 ability that such a guarantee would be violated, assuming that th endently, and that if a component does fail then the replacement quality and will certainly last for the 1000 hours.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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.9 Guaranteed life of a machine The lifetime in hours of a certain component of a machine has the continuous probability density function -x/1000 x ≥ 0. f(x) = " 1000 The machine contains five similar components, the lifetime of each having the above distribution. The makers are considering offering a guarantee that not more than two of the original components will have to be replaced during the first 1000 hours of use. Find the probability that such a guarantee would be violated, assuming that the components wear out independently, and that if a component does fail then the replacement used is of particularly high quality and will certainly last for the 1000 hours.
Transcribed Image Text:.9 Guaranteed life of a machine The lifetime in hours of a certain component of a machine has the continuous probability density function -x/1000 x ≥ 0. f(x) = " 1000 The machine contains five similar components, the lifetime of each having the above distribution. The makers are considering offering a guarantee that not more than two of the original components will have to be replaced during the first 1000 hours of use. Find the probability that such a guarantee would be violated, assuming that the components wear out independently, and that if a component does fail then the replacement used is of particularly high quality and will certainly last for the 1000 hours.
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