Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews, 50% of moderately successful products received good reviews, and 10% of poor products received good reviews. In addition, 30% of products have been highly successful, 30% have been moderately successful, and 25% have been poor products. What is the probability that a product attains a good review? If a new design attains a good review, what is the probability that it will be a highly successful product?

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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Customers are used to evaluate preliminary product designs. In the past, 95% of highly
successful products received good reviews, 50% of moderately successful products received
good reviews, and 10% of poor products received good reviews. In addition, 30% of products
have been highly successful, 30% have been moderately successful, and 25% have been poor
products.
What is the probability that a product attains a good review?
If a new design attains a good review, what is the probability that it will be a highly successful
product?
Transcribed Image Text:Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews, 50% of moderately successful products received good reviews, and 10% of poor products received good reviews. In addition, 30% of products have been highly successful, 30% have been moderately successful, and 25% have been poor products. What is the probability that a product attains a good review? If a new design attains a good review, what is the probability that it will be a highly successful product?
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