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The air force maintains enormous amounts of data on engine

Question: The Air Force maintains enormous amounts of data on engine failure times. A particular engine has experienced a failure pattern whose failure rate function is closely approximated by

r(t) = 0.000355e^2.2t

where t is in flying hours.

a. What are the reliability and the cumulative distribution functions of the time until failure?

b. Determine the value of t such that the likelihood that an engine fails before t is the same as the likelihood that an engine fails after t.

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