1. A manufacturer subjected 100 machines to 6000 hours of testing. One machine failed at 2340 hours, another one failed at 4100 hours and a third one failed at 100hrs. a) What is the % failure rate? b) Number of failures per unit-hour and MTBF? c) If 250 such machines are deployed, how many are expected to fail in one year, assuming 2000 working hours per year? hint: you can first find the annual failure rate, then use annual failure rate x number of machines. 2. Sonya Marx operates a machine 340 minutes a day. The actual cycle time per part on the machine is measured to be 0.8 minutes, and the machine produces 360 parts a day. The machine specifications indicate that it should have a cycle time of 0.75min/ part. Calculate the following efficiencies: a) Rate efficiency b) Speed Efficiency c) Performance efficiency 3. A system consists of the following four elements. Reliabilities of the elements are: R1=0.95,R2=0.85,R3=0.92 Calculate the overall reliability of the system