The defect length of a corrosion defect in a pressurizedsteel pipe is normally distributed with mean value 30 mmand standard deviation 7.8 mm [suggested in the article“Reliability Evaluation of Corroding PipelinesConsidering Multiple Failure Modes and TimeDependentInternal Pressure” (J. of InfrastructureSystems, 2011: 216–224)].a. What is the probability that defect length is at most20 mm? Less than 20 mm?b. What is the 75th percentile of the defect length distribution—that is, the value that separates the smallest75% of all lengths from the largest 25%?c. What is the 15th percentile of the defect lengthdistribution?d. What values separate the middle 80% of the defectlength distribution from the smallest 10% and thelargest 10%?
The defect length of a corrosion defect in a pressurized
steel pipe is
and standard deviation 7.8 mm [suggested in the article
“Reliability Evaluation of Corroding Pipelines
Considering Multiple Failure
Internal Pressure” (J. of Infrastructure
Systems, 2011: 216–224)].
a. What is the probability that defect length is at most
20 mm? Less than 20 mm?
b. What is the 75th percentile of the defect length distribution—
that is, the value that separates the smallest
75% of all lengths from the largest 25%?
c. What is the 15th percentile of the defect length
distribution?
d. What values separate the middle 80% of the defect
length distribution from the smallest 10% and the
largest 10%?
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