Question 3 (40 points) Consider the seven component system shown below. Time to failure of each component has an exponential distribution. The failure rates per hour are as shown in the table below. Component A B C D E F G Failure Rate 0.0015 0.0015 0.0008 0.0009 0.004 0.002 0.006 a) Find the reliability of the system after 600 hours. b) What is the mean life to failure of the system? In questions (c) and (d), suppose component B is a standby component. c) Find the reliability of the system after 600 hours? d) What is the mean life to failure of the system?
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First, we need to find the reliability of each component after 600 hours. The reliability function for an exponential distribution is given by R(t) = e^(-λt), where λ is the failure rate and t is the time. Show more…
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