Problem 3: A chain of a applicance stores sells three different brands of air conditioner. Of its air conditioner sales, 45% are Daikin, 20% are LG, and 35% are Sharp. Each manufacturer offers a 1-year warranty on parts and labor. It is known that 10% of Daikin air conditioner require warranty repair work, whereas the corresponding percentages for LG and Sharp are 11% and 8%, respectively. If a customer returns to the store with a air conditioner that needs warranty repair work, what is the probability that it is a brand Daikin?

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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The Law of total Probability

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Problem 3: A chain of a applicance stores sells three different brands of air conditioner.
Of its air conditioner sales, 45% are Daikin, 20% are LG, and 35% are Sharp. Each
manufacturer offers a 1-year warranty on parts and labor. It is known that 10% of Daikin
air conditioner require warranty repair work, whereas the corresponding percentages for
LG and Sharp are 11% and 8%, respectively.
If a customer returns to the store with a air conditioner that needs warranty repair
work, what is the probability that it is a brand Daikin?
Transcribed Image Text:Problem 3: A chain of a applicance stores sells three different brands of air conditioner. Of its air conditioner sales, 45% are Daikin, 20% are LG, and 35% are Sharp. Each manufacturer offers a 1-year warranty on parts and labor. It is known that 10% of Daikin air conditioner require warranty repair work, whereas the corresponding percentages for LG and Sharp are 11% and 8%, respectively. If a customer returns to the store with a air conditioner that needs warranty repair work, what is the probability that it is a brand Daikin?
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