Suppose a system is made up of seven components with iid lifetimes. The system will operate until one of the component fails. If the lifetime of each component is f(x)=3/x^4, x>1, what is the expected lifetime until failure of the system?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Suppose a system is made up of seven components with iid lifetimes. The system will operate until one of the component fails. If the lifetime of each component is f(x)=3/x^4, x>1, what is the expected lifetime until failure of the system?
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