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A biomedical research company produces \(46 \%\) of its insulin at a plant in Kansas City, and the remainder is produced at a plant in Jefferson City. Quality control has shown that \(0.6 \%\) of the insulin produced at the plant in Kansas City is defective, while \(0.8 \%\) of the insulin produced at the plant in Jefferson City is defective. What is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective?
in-context