Highlights
Question 1.
(a) Define hazard rate function. With the aid of a sketch, show how the hazard rate function of a typical mechanical system varies with time and outline the different life phases. Suggest, with justification, an appropriate maintenance policy for each life phase.
(b) Calculate the reliability at 100 days for the system with the reliability block diagram shown in figure Q1. The probability distributions for the time to failure for each component are:
A: Constant hazard, mean time to failure 615 days.
B: Normal distribution with mean 165 days, standard deviation 47 days.
C: Constant hazard, mean time to failure 302 days
(c) An item has a failure probability of 0.025 when subjected to a specific test. Determine the probability that in a test sample of 20 items, there will be no more than one failure.
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