Two machines turn out all the products in a factory, with the first machine producing 25% of the product and the second 75%. The first machine produces defective products 6% of the time and the second machine 5% 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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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Two machines turn out all the products in a factory, with the first machine producing 25% of the product and the second 75%. The first machine produces defective products 6% of the time and the second machine 5% 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?
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