Question 752702: The assembly of clock radios requires each radio to pass through 3 distinct process -A, B and C- which operate independently of one another. In each process, the probability of performing the required task incorrectly is .04; this results in defect in the radio from that particular process. At most, a radio can have only 3 defects (one from each of the 3 processes).
If an assembled radio is selected at random, what is the probability that the radio will have at least one defect? (Round your answer to 3 decimal places.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The assembly of clock radios requires each radio to pass through 3 distinct process -A, B and C- which operate independently of one another. In each process, the probability of performing the required task incorrectly is .04; this results in defect in the radio from that particular process. At most, a radio can have only 3 defects (one from each of the 3 processes).
If an assembled radio is selected at random, what is the probability that the radio will have at least one defect? (Round your answer to 3 decimal places.)
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Binomial with n = 3 and p(defect) = 0.04 p(no defect) = 0.96
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P(at least one defect) = 1 - P(no defects) = 1 - (0.96)^3 = 0.1153
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Cheers,
Stan H.
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