12-3) 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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12-3) 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:12-3) 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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