1. In the circuit shown, the probability of any switch being closed is 0.8 and all events are independent.(a) What is the probability that a circuit will exist? (b) Given that a circuit exists, what is theprobability that switches a and b are closed? Let the events that a, b, c and d are closed be A, B, Cand D. Let X denote the event that the circuit exists.b.Serieseparalleld2. A system has 12 components. Components 1 through 8 are different have reliabilities 0.98, 0.99, 0.992,0.975, 0.984, 0.978, 0.96, 0.995 respectively. Components 9 through 12 are the same, with reliability of0.95. Components 4 through 6 are critical, and cach must operate for the system to function. However,only one of the components 1 through 3 has to be working and the same for 7 and 8. At least two ofthe four identical components must work, as well. Draw the system diagram and find the probabilitythat system survives.3. A circular bar of 25 mm diameter is made of carbon steel and is subjected to axial force F. The meanyield strength of the material is 250MPA and mean value of force F is 70kN. Both yield strength andforce are random variables and follow a normal distribution. The coefficient of variation of both variablesis 10%. Calculate the reliability index.

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In the circuit shown, the probability of any switch being closed is 0.8 and all events are independent. (a) What is the probability that a circuit will exist? (b) Given that a circuit exists, what is the probability that switches a and b are closed? Let the events that a, b, e and d are closed be A, B, C and D. Let X denote the event that the circuit exists. Serie se parallel

In the circuit shown, the probability of any switch being closed is 0.8 and all events are independent. (a) What is the probability that a circuit will exist? (b) Given that a circuit exists, what is the probability that switches a and b are closed? Let the events that a, b, e and d are closed be A, B, C and D. Let X denote the event that the circuit exists. Serie se parallel

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter29: Dc Generators

Section: Chapter Questions

Problem 1PA: You are working as an electrician in a large steel manufacturing plant, and you are in the process...

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