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EMGT 691/IE 605 Reliability Engineering Fall 2017 A warranty reporting system re

ID: 3337574 • Letter: E

Question

EMGT 691/IE 605 Reliability Engineering Fall 2017 A warranty reporting system reports field failures. For the rear brake drums on a particular pickup truck the following data was obtained. For the data provided, calculate and plot the failure density, hazard rate, and reliability function. Assume that the population size is 2,680 and the below data represents all of the failures. [20 pts] Kilometer interval Number of failures Failure 2,000 2,000-4,000 4,000-6,000 6,000-8,000 8,000-10,000 10,000-12,000 12,000-14,000 14,000-16,000 16,000-18,000 18,000-20,000 20,000-22,000 22,000-24,000 Hazard rate Reliability function 707 532 368 233 231 136 141 78 101 46 51 56

Explanation / Answer

Failure density=Number of failures / Total number of failure

Hazard Rate=Number of Failure / Kilometer interval

Reliability Function=Cumulative of number of Failure corresponding to that kilometer interval

0.26380597 0.198507463 0.137313433 0.086940299 0.08619403 0.050746269 0.05261194 0.029104478 0.037686567 0.017164179 0.019029851 0.020895522