I'm conducting a reliability analysis on some equipment. I have some data and have used a chi-squared method to calculate a failure rate, lambda, and then reliability with R(t)=e^-(lambda*t).
This is no problem, but this reliability is for the equipment as a whole. How do I then use this to calculate the probability of a particular piece of equipment failing?
So for example, say you have a fleet of trucks. You've have a years data over your fleet for say, failure of the starter motor. With this data you've calculated R(t)=0.6, and hence unreliability is 0.4. This is then the reliability and unreliability for your fleet's starter motors as a whole. This is the probability of a starter motor failing somewhere in my whole fleet over whatever period I have used. But the likelihood of an individual truck's starter motor failing in this period will be different to this. How do I calculate this?
Hope this makes sense.