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  3. 3 at a factory three robots a b and c...

Question: 3 at a factory three robots a b and c...

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3. At a factory, three robots (A, B and C) build devices, 20% of the devices made by A are defective, 10% of the devices made by B are defective, and 5% of the devices made by machine C are defective. Each robot builds the same number of devices per day. Let F indicate a defective device (a) What is the probability P(F) that a given device produced in this factory is defective? (b) Given that a device is defective, what is the probability that it was produced by robot A? (c) Given that a device is not defective, what is the probability that it was produced by robot C?
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