A manufacturing machine has a 10% defect rate. if 10 items are chosen at random, what is the probability that at least one will have a defect? give your answer as a fraction or decimal out to at least 4 places.

Question

Romeo Zuniga

Mathematics

27 March, 13:30

A manufacturing machine has a 10% defect rate. if 10 items are chosen at random, what is the probability that at least one will have a defect? give your answer as a fraction or decimal out to at least 4 places.

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Luz Daniel · Answer 1

In this case, the chance of founding defect is 10% which mean the chance of not founding defect would be 90%. At least one defect would be the opposite of "no defect at all". Since the probability to find a good product is 90%, the chance to found 10 good product would be 0.9^10.

Then the chance for at least one defect would be: 1 - 0.9^10 = 1 - 0.3486784 = 0.6513