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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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2–69. 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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