Before marketing new products nationally, companies often test them on samples of potential customers. Such tests have a known reliability. For a particular product type, a test will indicate success of the product 75% of the time if the product is indeed successful and 15% of the time when the product is not successful. From past experience with similar products, a company knows that a new product has a 0.60 chance of success on the national market. If the test indicates that the product will be successful, what is the probability that it really will be successful?

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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Before marketing new products nationally, companies often test them on
samples of potential customers. Such tests have a known reliability. For a particular product type, a test will indicate success of the product 75% of the time if
the product is indeed successful and 15% of the time when the product is not successful. From past experience with similar products, a company knows that a
new product has a 0.60 chance of success on the national market. If the test indicates that the product will be successful, what is the probability that it really will
be successful?

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