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A system contains two subsystems connected in parallel, such that the system can function properly if at least one subsystem can function properly. Let the probability is 0.85 for each subsystem to function properly and assume the subsystems function independently. What is the probability that the whole system can function properly

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Answer:

0.9775 or 97.75%

Step-by-step explanation:

The probability of each subsystem failing is 0.15. Since the system functions properly with at least one subsystem, the probability that it functions properly is 100% minus the probability of both subsystems failing:

[tex]P = 1 - (0.15*0.15)\\P=0.9775[/tex]

The probability that the whole system can function properly is 0.9775 or 97.75%

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