(35 points) A failure distribution is characterized by the following hazard rate function where time is measured in hours: 1.2 0.2 A(t) = t 20 10,000 10,000 Find: a. R(1,000 hr) b. The MTTF c. The mode d. The median time to failure e. The 90 percent design life f. The conditional reliability of another 500 hours given it survives 500 hours, R (500 500) g. Whether the hazard rate function is DFR, CFR, IFR, or mixed