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vekshin1
3 years ago
7

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?

Mathematics
2 answers:
iris [78.8K]3 years ago
6 0

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

aleksklad [387]3 years ago
4 0

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

= 0.75\times0.8\times0.8

= 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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