Three airplanes ( Alpha, Delta and Omicron) of varying ages and known historical Weibull failure distributions for their airplane models. You are to choose one of the three optional planes and rent it for an expected 200 flight hours. Give the reliability of each plane (i.e. the probability that the plane will not fail in the next 200 hours of flight given its age in logged hours of flight. Determine which is the best engineered choice of plane for your 200 flight hours? (10 pts) Plane Weibull mean expected lifetime Shape parameter Logged hours of flight Alpha 10,000 hrs 1.8 2,300 Delta 18,000 hrs 3.0 9,800 Omicron 15,000 hrs 2.5 3,750