Part b!

Problem 4 The exponential density function in the previous problem: f (t) = 212"" t 2 0 is often used to model the failure of equipment components. That is, the probability that a particular component will fail within time T is given by: T Pf = j f(t)dt 0 Reliability is dened as the probability that a component will not fail in time T, i.e. R = 1 P f a) what is the expected (average) lifetime of a component in terms of 1 ? b) if an electronic component has the average lifetime of 10,000 hrs, for what time span might we expect its reliability to be 0.99