Exercise 2.4 (Multiplication and Total Probability Rule) Customers are used to evaluate preliminary product designs. In the past, 95 % of highly successful products, 60 % of moderately successful products, and 10 % of poor products received good review. In addition, 40% of product designs have been highly successful, 35 % have been moderately successful, and 25% have been poor products. Find the probability that a product receives a good review. Exercise 2.6 (Bayes’ Theorem) In Exercise 2.4, what is the probability that a new design will be highly successful if it receives a good review?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Exercise 2.4 (Multiplication and Total Probability Rule) Customers are used to evaluate preliminary product designs. In the past, 95 % of highly successful products, 60 % of moderately successful products, and 10 % of poor products received good review. In addition, 40% of product designs have been highly successful, 35 % have been moderately successful, and 25% have been poor products. Find the probability that a product receives a good review.

Exercise 2.6 (Bayes’ Theorem) In Exercise 2.4, what is the probability that a new design will be highly successful if it receives a good review?

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