Question

A biomedical research company produces 40%40% 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 0.75%0.75% of the insulin produced at the plant in Kansas City is defective, while 1.2%1.2% 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?

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