SOLUTION: A manufacturing machine has a 5% defect rate. If 5 items are chosen at random, what is the probability that at least one will have a defect?

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Question 1145730: A manufacturing machine has a 5% defect rate.
If 5 items are chosen at random, what is the probability that at least one will have a defect?

Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability that NO ONE item of 5 has a defect is  P(X=0) = %281-0.05%29%5E5 = 0.95%5E5.


The probability that at least one item of 5 has a defect is the COMPLEMENT to it


    P( X >= 1) = 1 - 0.095%5E5 = 0.226219.     ANSWER