Assignment 3.pdf - Assignment 3 Constant Failure Rate Model...

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Assignment 3: Constant Failure Rate Model 1. A gearbox has two independent failure modes: a constant failure rate of 0.0003 and a linearly increasing (wearout) failure rate given by ( ) ( ) 5 10 5 / × = t t λ . Find the reliability of the gearbox for 100 hr of operation. 2. A system contains 20 identical and critical components that will be replaced on failure (renewal process). As a result, a constant failure rate for the system will be observed. If a design life of 10 yr with a reliability of 0.99 is required, what should the system MTTF and median time to failure be? If each component has a CFR, what will the component MTTF and median time to failure be? 3. The time to failure of fluorescent lights in a large office building is exponentially
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