A biomedical research company produces 40% of it's 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% of the insulin produced at the plant in Kansas city is defective , while 1.35% 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?   (Hint : Draw a tree diagram first )

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A biomedical research company produces 40% of it's 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% of the insulin produced at the plant in Kansas city is defective , while 1.35% 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?

 

(Hint : Draw a tree diagram first )

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