Help please!
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours).
Find the probability density function for the average length of life of the two components.
I think this is probably a misinterpretation of the question.
If we are interested in the distribution of the time to failure of the system, which has two failure modes with time to failure distributed exponentialy with mtbf amd , then the time to failure of the system has an exponential distribution with mtbf .
That is the failure rate for the system is the sum of the failure rates of the subsystems.
CB