I am reading a paper about a Failure Tree Analysis. When I was at university I did a course where the FTA was presented and we worked directly on the probability using the logic gates AND/OR.
In this paper they work on the failure rates. At the beginning I thought that the failure rate and the probability were the same thing, because the units where the same [1/T] but I read here
"Although the failure rate, $\lambda (t)$, is often thought of as the probability that a failure occurs in a specified interval given no failure before time $\displaystyle t$, it is not actually a probability because it can exceed 1. "
After that I have read here that the probability P is:
$P=1-exp(-\lambda t)$
So now my question here is, given the failure rate of the system calculated in the paper, can I obtain the probability with the previous formula? For example if the failure rate is 9.5 FPMH, the probability per year is:
P=1-exp(-9.5*numberofhourperyears/millionofhours)=8%
