Expectation
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) = \cases{\frac{3}{x^4} & , x > 1 \cr 0 & , otherwise} $
What is the expected lifetime until failure of the system?
A) 1.02
B) 1.03
C) 1.04
D) 1.05
E) 1.06
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