Reliability, failure analysis and problem solving
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1. A Porsche GT3 Cup car's engine has a mean time between failures of 250 hours, where the failure rate is constant. Suppose that a certain race requires failure-free operation of the engine for 20 hours. What is the probability that the engine will complete the race without failure? Please round your answer to 2 decimals.
2. The hazard function of a product is given by λ = λt where λ > 0. Suppose we subject the product to the burn-in period T0. Will the conditional reliability R (t|T0 ) increase or decrease as the burn-in period T0 increase?
3. The failure distribution is given by the function below. What is the MTTF (in hours).
f(t)=(3t²/(10⁹))^ ,for 0 ≤t≤1000hr
4. The time to failure of a typical household refrigerator has the following pdf: What is the reliability of the refrigerator for the first year? Please round your answer to 2 decimals
f(t)= {█(0.003t^2-0.06t+0.3 for 0≤t≤10 years@0 elsewhere)┤
5. Pick three contributing factors for observing an IFR hazard.
Hint: These factors can typically be addressed using preventative maintenance.
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Solution Summary
Various problems and solutions addressing failure, failure rate, hazard and reliability
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Hello as attached, thanks John
A Porsche GT3 Cup car's engine has a mean time between failures of 250 hours, where the failure rate is constant. Suppose that a certain race requires failure-free operation of the engine for 20 hours. What is the probability that the engine will complete the race without failure? Please round your answer to 2 decimals.
For a constant failure rate the reliability (probability of no failure) up to a time t is given by
R(t)=e^(-t⁄MTBF)
Where Mean Time Between Failures MTBF=250 hrs
Thus probability of no engine failure up to including 20hrs is
R(20)=e^(-20⁄250)=e^(-0.08)=0.92
The hazard function of a product is given by λ = λt where λ > 0. Suppose we ...
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