Consider the following two parallel systems, sub systems A & B. 1 2 3 2 3 4 5 6 4 5 (a) (b) Series-parallel Total-cross tied For the series-parallel system to work properly, at least one of the two subsystems should work. Each subsystem comprises of three cells. Each cell is independent of each other. In order for the system to function, at least one of the two parallel subsystems must work. The probability that a cell works is 0.9. Given this, what is the probability that the A) The series – parallel circuit works. The total-cross-tied system fails as soon as an entire column fails. The system works properly only if every column works. The probabilities remain the same as described above. Given this, what is the probability that B )The total-cross tied combination works

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Consider the following two parallel systems, sub systems A & B.
1
2
3
1
2
3
4
5
6.
4
5
6.
(a)
(b)
Series-parallel
Total-cross tied
For the series-parallel system to work properly, at least one of the two subsystems should work.
Each subsystem comprises of three cells. Each cell is independent of each other. In order for the
system to function, at least one of the two parallel subsystems must work. The probability that a
cell works is 0.9. Given this, what is the probability that the
A) The series – parallel circuit works.
The total-cross-tied system fails as soon as an entire column fails. The system works properly
only if every column works. The probabilities remain the same as described above. Given this,
what is the probability that
B)The total-cross tied combination works
ww
Transcribed Image Text:Consider the following two parallel systems, sub systems A & B. 1 2 3 1 2 3 4 5 6. 4 5 6. (a) (b) Series-parallel Total-cross tied For the series-parallel system to work properly, at least one of the two subsystems should work. Each subsystem comprises of three cells. Each cell is independent of each other. In order for the system to function, at least one of the two parallel subsystems must work. The probability that a cell works is 0.9. Given this, what is the probability that the A) The series – parallel circuit works. The total-cross-tied system fails as soon as an entire column fails. The system works properly only if every column works. The probabilities remain the same as described above. Given this, what is the probability that B)The total-cross tied combination works ww
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