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  • 19-03-2024
  • Mathematics
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A system made up of 7 components with independent, identically distributed lifetimes will operate until any of 1 of the system’ s components fails. If the lifetime X of each component has density function
f(x)={λ 3/x⁴ x>1
and f(x) = 0 if x≤1.

What is the expected lifetime until failure of the system?

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