Either one of two components can support function. Assume that the failure times of the components are exponential random variables with hazard rates of 0.1year−1and 0.2year−1, respectively. (1) What are the reliabilities of twocomponents?=5years? (2) During the system operation, repair action is taken only when both components are broken. What is the system reliability at ?=3years? What is the MTTF of the system? (3) Consider a cost of $2,000 for the repair of one component, and the economic loss of $5,000due to function interruption, what is the cost of maintaining them on average per year.

Either one of two components can support function. Assume that the failure times of the components are exponential random variables with hazard rates of 0.1year−1and 0.2year−1, respectively. (1) What are the reliabilities of twocomponents?=5years? (2) During the system operation, repair action is taken only when both components are broken. What is the system reliability at ?=3years? What is the MTTF of the system? (3) Consider a cost of $2,000 for the repair of one component, and the economic loss of $5,000due to function interruption, what is the cost of maintaining them on average per year.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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