Question: 5. Consider the system in problem 1 without Subsytem 3. Suppose that components 1-6 have an exponentially distributed lifetime with means given in the table

5. Consider the system in problem 1 without5. Consider the system in problem 1 without

5. Consider the system in problem 1 without Subsytem 3. Suppose that components 1-6 have an exponentially distributed lifetime with means given in the table below (in months). Component Mean Time Till Failure (months) 25 1 2 15 3 10 4. 20 5 30 6 10 (a) Determine the reliability of the system as a function of time. (b) Determine the mean time to failure of the system. (c) Assume that it is desired to offer a warranty on the system such that the probability of the system will last longer than that warranty period is 90%. What should the warranty period be? 1. Consider the following reliability model developed for a machine shop. Subsystem 1 Subsystem 3 7 1 4 7 Component Reliability 1 0.9 5 7 2 0.95 3 0.4 Subsystem 2. 4 0.7 7 2 6 2 5 0.5 6 0.9 7 7 7 0.3

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