Q3 The Lifetime In Weeks Of A Certain System Component Is Thought To Have An Exponential Distribution Whose Density F 1 (40.45 KiB) Viewed 97 times
Q3 The lifetime (in weeks) of a certain system component is thought to have an exponential distribution, whose density function is given by f(2)= le-te, r>0, for some strictly positive parameter .. (a) The reliability of a component is defined as the probability that the component will not have failed by a specified time. If the reliability of the system component at 10.5 weeks is 0.9, find the reliability at 10 weeks.
(b) One hundred components of this type are put in a new system. All components that have failed are replaced at 20 week intervals, and none are replaced at other times. If R is the number of components that have to be replaced at the end of the first interval, state assumptions and compute the mean and variance of R. Explain why this result holds for any such interval, and not just the first.
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