Components 2, 3, and 4 are connected in series, so that their subsystem works only if 2, 3 and 4 all work. The two subsystems ar e connected in parallel, so the system will work if either subsystem works. The components work independently of one another and the probability that the component works is 0.75 for components 1 and 2 and 0.8 for components 3 and 4. What is the probability that the system works?
2 answers:
Answer:
0.87
Step-by-step explanation:
First subsystem now working:
1 - 0.75
0.25
Second subsystem not working:
1 - (0.75 × 0.8 × 0.8)
1 - 0.48
0.52
System wouldn't work if both fail
P(working) = 1 - (0.52×0.25)
1 - 0.13
0.87
Answer:
0.61
Step-by-step explanation:
The computation of the probability of the working of the system is shown below:
But before that first we have to find out the total probability of sub-system i.e 2,3 and 4 i.e
= 0.48
Now the working of the system probability is
= 1 - [(1 - probability of component 1) × (1 - sub system probability)]
= 1 - [(1 - 0.75) × (1 - 0.48)]
= 1 - 0.39
= 0.61
Please find the attachment for better understanding.
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