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) = 0.000355e2.2t
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.