(1) Given mean-time-to-failure of 400 hours for each of two components, what is the probability of system failure if both components operate in parallel for three hours? (2) Somebody wants to take a 1000 km trip by car. The car has a constant failure rate of ? = 10? per kilometer travelled. What is the probability that the destination is reached without the car breaking down? A plane has two similar computers onboard for flight control functions: one that is operational and the second as an active standby. The time to failure for each computer follows an exponential distribution with an MTBF of 4000 hours. (a) Find the reliability of the computer system (consisting of both computers) for 900 hours when the switching is perfect and the second computer is instantaneously switched on when the first computer fails. (b) Also find the MTBF of the computer system.
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For the active standby computer, the mean time to failure is 4000 hours, so the reliability of the computer system is 0.9. For the operational computer, the mean time to failure is 900 hours, so the reliability of the computer system is 0.1. Show moreā¦
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