Two machines turn out all the products in a factory, with the first machine producing 35% of the product and the second 65%. The first machine produces defective products 4% of the time and the second machine 7% of the time. (a) What is the probability that a defective part is produced at this factory given that it was made on the first machine?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Two machines turn out all the products in a factory, with the first machine producing 35% of the product and the second 65%. The first machine produces defective products 4% of the time and the second machine 7% of the time.
(a) What is the probability that a defective part is produced at this factory given that it was made on the first machine?


(b) What is the probability that a defective part is produced at this factory?
 
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