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.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.2P: The temperature dependence of resistance is also quantified by the relation R2=R1[ 1+(T2T1) ] where...
icon
Related questions
Question
Please answer the question and explain fully.
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.
Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Magnetically Coupled Circuit
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning