A computer system is designed so that if component C1 fails, it is bypassed and C2 is used. If C2 fails, then it is bypassed and component C3 is used. If C3 fails,then it is bypassed and Component C4 is used. The system fails only if all 4 components fail. The failure of any of the four components is independent of thefailure of any of the other components. There is a .4 probability that C1 fails, a .4 probability that C2 fails, a .3 probability that C3 fails and a .2 probability thatC4 failsa. What is the probability C1, C2, C3, and C4 all fail?b. What is the probability none of C1, C2, C3, or C4 fail?c. What is the probability that the system works (does not fail)?d. What is the probability that C1 and C3 fail?e. What is the probability that C1 or C3 fails?f. What is the probability that exactly one of the components works?

(Probability of 'and' is represented by ∩. Probability of 'or' is represented by ∪). Given, P(C1)…

Answered: A computer system is designed so that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
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