Reference no: EM13246771
1. A system contains 6 components A, B, C, D, E, and F. The min cut sets for the system are {A,B,C}, {A,D,F},{B,C,E}, and {D,E,F}.
a. Draw a fault tree for the system in which each event occurs only once.
b. Give the min paths of the system.
2. A system containing 5 components labeled A, B, C, D, and E, has failed. Initially,
it was estimated that P(A)=1x10-3, P(B)=3x10-3, P(C)= 6,x10-3, P(D) = 1x10-4, and P(E) =8x10-4.However , initial maintenance has revealed that component C has failed. What is the next most likely component to inspect given the following system fault tree.
![2032_Draw a fault tree for the system.png](https://secure.expertsmind.com/CMSImages/2032_Draw%20a%20fault%20tree%20for%20the%20system.png)
3. Consider the following system where the arrows indicate flow direction
![100_Draw a fault tree for the system1.png](https://secure.expertsmind.com/CMSImages/100_Draw%20a%20fault%20tree%20for%20the%20system1.png)
And respective failure probabilities
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COMPONENT
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B
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C
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D
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E
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F
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G
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H
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I
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Pr{Failure}
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1.00E-08
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1.20E-07
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6.00E-07
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1.20E-07
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4.00E-08
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3.40E-06
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6.70E-07
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5.50E-08
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a. What is the probability of system failure?
b. If you could improve one component which one would you improve?
4. Given P(a) = 1x10-4, P(b) = 3x10-4, P(c) = 7x10-4, P(d) = 9x10-5, and P(e) = 2x10-4,
And given that
![1836_Draw a fault tree for the system2.png](https://secure.expertsmind.com/CMSImages/1836_Draw%20a%20fault%20tree%20for%20the%20system2.png)
5. A common question in reliability and risk analysis "is it better to make a system of redundant components or just a redundant system?". Consider answering this question for the following system with independent and identical components where probability of unsuccessful operation for each component is p.
![1207_Draw a fault tree for the system3.png](https://secure.expertsmind.com/CMSImages/1207_Draw%20a%20fault%20tree%20for%20the%20system3.png)