An integrated circuit contains 9.5x10 logic gates; each gate can be a logical AND or OR circuit. Assume the probability of a gate failure is p and that the failures are independent. If any gate in the circuit fails, the entire circuit will fail. What should be the value of p so that the probability that the integrated circuit functions is 0.95? 5.

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Chapter1: Combinatorial Analysis
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An integrated circuit contains 9.5x10 logic gates; each gate can be a logical AND or OR circuit.
Assume the probability of a gate failure is p and that the failures are independent. If any gate in
the circuit fails, the entire circuit will fail. What should be the value of p so that the probability
that the integrated circuit functions is 0.95?
5.
Transcribed Image Text:An integrated circuit contains 9.5x10 logic gates; each gate can be a logical AND or OR circuit. Assume the probability of a gate failure is p and that the failures are independent. If any gate in the circuit fails, the entire circuit will fail. What should be the value of p so that the probability that the integrated circuit functions is 0.95? 5.
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