An electrical circuit system consists of five components is illustrated in the followingfigure. The reliability (probability of working) of each component is also given in thefigure. Assume that the components fail independently.i.Determine the probability that the entire system works?ii.If you are given the condition that the system works, then find theprobability that the component A is not working?0.70.7AB0.80.80.8C

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Answered: i. Determine the probability that the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Two on and off valves are in parallel and act independently. They control the fluid that flows through the pipe. Suppose that valve A has a 60% chance of being off and a 40% chance of being on. Valve B has a 40% chance of being off and a 60% chance of being on. A Determine the probability that fluid flows through the pipe. Choices: 1, 0.76, 0.64, 0.36, 0.24, 0.16 Determine the probability that flue will not flow through the pipe. Choices: 1, 0.76, 0.64, 0.36, 0.24, 0.16
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i. Determine the probability that the entire system works? ii. If you are given the condition that the system works, then find the probability that the component A is not working?