04_Constant+Failure+Rates_Problems.doc - Chapter 4 Exercise...

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Chapter 4: Exercise Questions 1. A hydraulic system is comprised of five components having constant failure rates (days): λ 1 =0.001, λ 2 =0.005, λ 3 =0.0007, λ 4 =0.0025, and λ 5 =0.00001. Find the MTTF, standard deviation and system design life if a reliability of 0.99 is desired. 2. An air conditioning compressor operates once for an average time of 20 minutes each hour. While operating, it has experienced a failure rate of 0.01 failures per operating hour, and while idle has experienced a dormant failure rate of 0.0002 failures per idle hour. The probability that the compressor fails on demand is 0.03. What is the reliability of the compressor in day long operation? 3. A flashlight contains two batteries of each having an MTTF 5 operating hours (consider constant failure rate). What is the probability of battery failure occurring within the first 2 operating hours? If failed batteries are immediately replaced, what is the probability of more than one failure occurring during the first 5 operating hours. 4. A microwave transmitter has exhibited a constant failure rate of 0.00034 failures per operating hour. Which gives non-acceptable design life (0.95 reliability) of 150 hours. A second redundant transmitter is added (parallel). What is the reliability of the system for 30 days of operation? What is design life of the new system? What will be the hazard rate function of this redundant system?
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