Consider the following 2 systems: System A: has 5 components each of which has a constant failure rate function r(t) = 4x10 per hour. System B: has 8 components each of which has a failure rate function r(t)=kx10 xt. In each system all components must work in order for the whole system to work. Assume that both systems have the same mean time to failure. a) Find the value of k. b) Which system is better to work continuously for 20 hours?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Consider the following 2 systems:
System A: has 5 components each of which has a constant failure rate function r(t) = 4x10 per
hour.
System B: has 8 components each of which has a failure rate function r(t)=kx10 xt.
In each system all components must work in order for the whole system to work.
Assume that both systems have the same mean time to failure.
a) Find the value of k.
b) Which system is better to work continuously for 20 hours?
Transcribed Image Text:Consider the following 2 systems: System A: has 5 components each of which has a constant failure rate function r(t) = 4x10 per hour. System B: has 8 components each of which has a failure rate function r(t)=kx10 xt. In each system all components must work in order for the whole system to work. Assume that both systems have the same mean time to failure. a) Find the value of k. b) Which system is better to work continuously for 20 hours?
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