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neonofarm [45]
2 years ago
13

An electrical circuit has two components in parallel. That is, the circuit works if at least one of the components works. The co

mponents work independently with probabilities 95% and 92% respectively. The chance that the circuit works is closest to
Mathematics
1 answer:
Tcecarenko [31]2 years ago
7 0

Answer:

The chances of circuit to work will be 99.6 %.

Step-by-step explanation:

The chance that the circuit will work is given by

P_{success}=1-P_{faliure}

The circuit will fail if both the components will fail

Probability of failure of component 1 is 100%-95%= 5%

Probability of faliure of component 2 is 100%-92% = 8%

Hence

P_{faliure}=(1-0.95)\times (1-0.92)\\\\P_{faliure}=0.004\\\\\therefore P_{success}=1-0.004=0.996

Thus the chances of circuit working is 99.6%

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