Reliability Engineering-AME472 University of Arizona, Total 100 Points Exam #2,
ID: 3110894 • Letter: R
Question
Reliability Engineering-AME472 University of Arizona, Total 100 Points Exam #2, Time: 2 Hours, 6/19/17 Q3: An engine fails due to either failure, failure or journal bearing failure. Probability of engine failure given the crankshaft fails is 0.45. Probability of engine failure given the lubrication fails is 0.85. Probability of engine failure given the bearing 0.6. The probability that an engine fails due to crankshaft is 0.3. The probability that an engine fails due to lubrication is probability that an engine fails due to bearing is 0.2 lf a transmission fails, what is the most likely cause of failure? Explain your answer Points) Q4. The probability of boiler failure can be taken as binomial event. There are four boilers in a plant. The probability of a boiler functioning without failure for a year is given as 0.7 4.1 Find and Plot the probability mass function for the functioning of boilers at the end of one year 10 Points) 4.2 Find and Plot the cumulative distribution function for the functioning of boilers at the end of one year. 10 Points) Q5: The diameter of a rod produced lathe mass production, with the specification of nominal diameter 20 mm, is follow the following distrbution: (5 points each) fx (x) o when xExplanation / Answer
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Q3) If probabilities are defined by AND statements, then the given probabilities are multiplied.
Therefore,
Transmission failure due to:
a) Crankshaft failure = 0.45
Probability of crankshaft failing = 0.3
Total = 0.45*0.3 = 0.135
b) Lubrication failure = 0.85
Probability of Lubrication failing = 0.5
Total = 0.85*0.5 = 0.425
c) Bearing failure = 0.6
Probability of Bearing failing = 0.2
Total = 0.6*0.2 = 0.12
Hence, Lubrication failing is the most likely reason for transmission failure.
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