a) What is the instantaneous failure rate at 18000 cycles? b) What is the average failure rate after 18000 cycles? c) What fraction of the components is expected to fail after 18000 cycles?

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Please help with the solution to this "Failure Rate Modeling" problem.

3. For a mechanical component, fatigue data indicates that the median cycle-
to-failure is (CTF)50 =
o=1.2. Assuming a lognormal distribution:
= 26000 cycles and a logarithmic standard deviation of
a) What is the instantaneous failure rate at 18000 cycles?
b) What is the average failure rate after 18000 cycles?
c) What fraction of the components is expected to fail after 18000 cycles?
Transcribed Image Text:3. For a mechanical component, fatigue data indicates that the median cycle- to-failure is (CTF)50 = o=1.2. Assuming a lognormal distribution: = 26000 cycles and a logarithmic standard deviation of a) What is the instantaneous failure rate at 18000 cycles? b) What is the average failure rate after 18000 cycles? c) What fraction of the components is expected to fail after 18000 cycles?
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