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Statistics / Probability and Statistical Inference 9 / Chapter 1.5 / Problem 1.5-8

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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A store sells four brands of tablets. The least expensive brand, B1, accounts for 40% of

Chapter 1, Problem 1.5-8

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QUESTION:

A store sells four brands of tablets. The least expensive brand, B1, accounts for 40% of the sales. The other brands (in order of their price) have the following percentages of sales: B2, 30%; B3, 20%; and B4, 10%. The respective probabilities of needing repair during warranty are 0.10 for B1, 0.05 for B2, 0.03 for B3, and 0.02 for B4. A randomly selected purchaser has a tablet that needs repair under warranty. What are the four conditional probabilities of being brand Bi, i = 1, 2, 3, 4?

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QUESTION:

A store sells four brands of tablets. The least expensive brand, B1, accounts for 40% of the sales. The other brands (in order of their price) have the following percentages of sales: B2, 30%; B3, 20%; and B4, 10%. The respective probabilities of needing repair during warranty are 0.10 for B1, 0.05 for B2, 0.03 for B3, and 0.02 for B4. A randomly selected purchaser has a tablet that needs repair under warranty. What are the four conditional probabilities of being brand Bi, i = 1, 2, 3, 4?

ANSWER:

Step 1 of 3

Law of total probability

Bayes' theorem

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