In: Statistics and Probability
An electrical system consist of 2 components (C1 and C2)
functioning independently, and
are set in a series layout. The failure time of each component
follows an exponential
distribution with rate 2 in every year.Suppose the system will
operate if both components function, and it
will fail if any one component fails. calculate
i) the probability that the system fails in less than 8
months.
ii) the expected time to failure of the system.