4.4.4The time to failure in hours of an electrical circuit subjected to a high temperature has a Weibull distribution with parameters a = 3 and λ = 0.5. (a) What is the median failure time of a circuit? (b) The circuit engineers can be 99% confident that a circuit will last as long as what time? (c) What are the expectation and variance of the circuit failure times? (d) If a circuit has three equivalent backup circuits that have independent failure times, what is the probability that at least one circuit is working after 3 hours?

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4.4.4The time to failure in hours of an electrical circuit subjected to a high
temperature has a Weibull distribution with parameters a = 3 and λ = 0.5.
(a) What is the median failure time of a circuit?
(b) The circuit engineers can be 99% confident that a circuit will last as long as
what time?
(c) What are the expectation and variance of the circuit failure times?
(d) If a circuit has three equivalent backup circuits that have independent failure
times, what is the probability that at least one circuit is working after 3 hours?
Transcribed Image Text:4.4.4The time to failure in hours of an electrical circuit subjected to a high temperature has a Weibull distribution with parameters a = 3 and λ = 0.5. (a) What is the median failure time of a circuit? (b) The circuit engineers can be 99% confident that a circuit will last as long as what time? (c) What are the expectation and variance of the circuit failure times? (d) If a circuit has three equivalent backup circuits that have independent failure times, what is the probability that at least one circuit is working after 3 hours?
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