Problem #8: A system consists of five components is connected in series as shown below. -12 3 4 5 ——— As soon as one component fails, the entire system will fail. Assume that the components fail independently of one another. Problem #8(a): Problem #8(b): (a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 106 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 123 weeks. Find the probability that the system lasts at least 59 weeks. (b) Now suppose that each component has a lifetime that is exponentially distributed with the same mean. What must that mean be (in years) so that 81% of all such systems lasts at least one year? Round your answer to 4 decimals. Answer in years, correct to 2 decimals

Problem #8: A system consists of five components is connected in series as shown below. -12 3 4 5 ——— As soon as one component fails, the entire system will fail. Assume that the components fail independently of one another. Problem #8(a): Problem #8(b): (a) Suppose that each of the first two components have lifetimes that are exponentially distributed with mean 106 weeks, and that each of the last three components have lifetimes that are exponentially distributed with mean 123 weeks. Find the probability that the system lasts at least 59 weeks. (b) Now suppose that each component has a lifetime that is exponentially distributed with the same mean. What must that mean be (in years) so that 81% of all such systems lasts at least one year? Round your answer to 4 decimals. Answer in years, correct to 2 decimals

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 14P: Annual interest yield refer to problem 13 .suppose the investor decides to increase the maximum...

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