12-2) Failure rate An electronic circuit contains 200 components. After 1000 hours of operation, the probability that a given component has failed is 2x103. Assume that the failures of various components are independent, and that if any one component fails, the circuit will not function. (a) Find the probability that the circuit is functioning after 1000 hours. (b) If two similar circuits are available, find the probability that at least one is functional after 1000 hours.

Power System Analysis and Design (MindTap Course List)
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Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter3: Power Transformers
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12-2) Failure rate
An electronic circuit contains 200 components. After 1000 hours of operation, the probability that a given component
has failed is 2x103. Assume that the failures of various components are independent, and that if any one component
fails, the circuit will not function.
(a) Find the probability that the circuit is functioning after 1000 hours.
(b) If two similar circuits are available, find the probability that at least one is functional after 1000 hours.
Transcribed Image Text:12-2) Failure rate An electronic circuit contains 200 components. After 1000 hours of operation, the probability that a given component has failed is 2x103. Assume that the failures of various components are independent, and that if any one component fails, the circuit will not function. (a) Find the probability that the circuit is functioning after 1000 hours. (b) If two similar circuits are available, find the probability that at least one is functional after 1000 hours.
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