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A mechanical system has 3 subsystems in series, each has reliabilities 98%, 96% and 94%, respectively. What is the overall reliability of the system

User Scrittler
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1 Answer

4 votes

Answer:

The overall reliability of the system is 99.9952%

Explanation:

Probability of the system not working:

None working, the first with 2% probability of not working(as it has 98% probability of working), the second with 4% and the third with 6%. So

0.02*0.04*0.06 = 0.000048

Probability of the system working:

1 subtracted by the probability of the systme not working.

1 - 0.000048 = 0.999952

0.999952*100% = 99.9952%

The overall reliability of the system is 99.9952%

User Mugurel
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