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Half of a set of parts are manufactured by machine A and half by machine B. Four precent of all parts are defective. Six percent of the part
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Half of a set of parts are manufactured by machine A and half by machine B. Four precent of all parts are defective. Six percent of the part
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Half of a set of parts are manufactured by machine A and half by machine B. Four precent of all parts are defective. Six percent of the parts manufactured on machine A are defective. Find the probability that a part was manufactured on machine A, given that the part is defective. Answer by stanbon(75887) (Show Source):
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Half of a set of parts are manufactured by machine A and half by machine B. Four percent of all parts are defective. P(d) = 0.04
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Six percent of the parts manufactured on machine A are defective.P(d|A)=0.06
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Find the probability that a part was manufactured on machine A, given that the part is defective.
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P(A|d) = P(A and d)/P(d) = [P(d|A)*P(A)]/P(d) = [0.06*0.5]/0.04
= 0.03/0.04 = 0.75 or 3/4
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Cheers,
Stan H.
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