A market research company has approached you about the possibility of using its services to help you decide whether to launch a new product. According to its customer portfolio, it has correctly predicted a favorable market for its clients' products 18 out of the last 20 times. It has also correctly predicted an unfavorable market for its clients' products 9 out of 12 times. Without this research company's help, you have estimated the probability of a favorable market at 0.58. Calculate the posterior probabilities, using the track record of the research firm.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A market research company has approached you about the possibility of using its services to help you decide whether to launch a new product.

According to its customer portfolio, it has correctly predicted a favorable market for its clients' products 18 out of the last 20 times.

It has also correctly predicted an unfavorable market for its clients' products 9 out of 12 times.

Without this research company's help, you have estimated the probability of a favorable market at 0.58.

Calculate the posterior probabilities, using the track record of the research firm.

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