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An electronic circuit contains 500 components. After 1000 h of operation, the probability that a given component has failed is 103. Assume that the failures of various components are independent. If any of the components fail, the cir- cuit will not function. Find the probability that the circuit is functioning after 1000 h. If two similar circuits are available, find the probability that at least one is functional after 1000 h.

An electronic circuit contains 500 components. After 1000 h of operation, the probability that a given component has failed is 103. Assume that the failures of various components are independent. If any of the components fail, the cir- cuit will not function. Find the probability that the circuit is functioning after 1000 h. If two similar circuits are available, find the probability that at least one is functional after 1000 h.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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An electronic circuit contains 500 components. After 1000 h of operation, the probability that a given component has failed is 10-3. Assume that the failures of various components are independent. If any of the components fail, the cir- cuit will not function. Find the probability that the circuit is functioning after 1000 h. If two similar circuits are available, find the probability that at least one is functional after 1000 h.
Transcribed Image Text:An electronic circuit contains 500 components. After 1000 h of operation, the probability that a given component has failed is 10-3. Assume that the failures of various components are independent. If any of the components fail, the cir- cuit will not function. Find the probability that the circuit is functioning after 1000 h. If two similar circuits are available, find the probability that at least one is functional after 1000 h.
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