Question: A complex machine has a high number of failures. The time to failure was found to be lognormal with s = 1.25. Specifications call for

  1. A complex machine has a high number of failures. The time to failure was found to be lognormal with s = 1.25. Specifications call for a reliability of 0.95 at 1000 cycles.

Determine the median time to failure that must be achieved by engineering

modifications to meet the specifications. Assume the design changes do not affect the shape parameter s.

What is the corresponding MTTF and standard deviation?

If the desired median time of the failure is obtained, what is the reliability during the next 1000 cycles given it has operated for 1000 cycles?

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