QUESTION 2: (4 pts) A component is being tested and the Quality/Reliability Department wishes to determine its reliability performance and associated density functions, as well as its mean life time. A total of 10,000 such component are tested. The life and failure numbers are shown in the following table. Find its p.d.f, c.d.f, R(t) and H(t). Then, based on the mean time interval and the p.d.f., calculate the mean life of such component. (e.g., for time interval 2000-4000 hrs, use 3000 hrs multiply by its %) Time Interval # failed units % Cumulative % R( t > interval H(t) lower bound) 01000 hrs 200 100% 2.00% 10002000 hrs 800 2000-3000 hrs 1000 3000-4000 hrs 1700 4000-5000 hrs 1800 5000-6000 hrs 2000 6000-10000 hrs 2500