A biomedical research company produces 42%42% of its insulin at a plant in Kansas City, and...
A biomedical research company produces 42%42% 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 1.25%1.25% of the insulin produced at the plant in Kansas City is defective, while 1.05%1.05% 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?
Homework Answers
Given,
P(Kansas) = 0.42
So P(Jefferson) = 0.58
P(Defective | Kansas) = 0.0125
P(Defective | Jefferson) = 0.0105
Hence by Bayes' theorem:
P(Jefferson | Defective)
= 0.5370
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