I am reading a reference that says, with [itex]f(x)[/itex] being the failure probability density function, reliability of a system with that PDF can be expressed as [itex]1 - \int_0^t f(x) dx[/itex]. For a given t, this gives a number. Next, the same reference says that the mean time to failure of the system, [itex]MTTF = \int_0^\infty R(t) dt[/itex]. How is this possible? R(t) returns a number, integrating to infinity over a constant returns infinity...(adsbygoogle = window.adsbygoogle || []).push({});

I guess I am missing some concept.

Thanks

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# Reliability and MTTF, what's going on?

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