Problem 5: A chain of robot cleaner stores sells three different brands of robot vacuums. Of its robot vacuums sales, 55% are Xiaomi, 35% are iLife, and 10% are Philips. Each manufacturer offers a 1-year warranty on parts and labor. It is known that 9% of Xiaomi robot vacuums require warranty repair work, whereas the corresponding percentages for iLife and Philips are 10% and 8%, respectively. If a customer returns to the store with a robot vacuums that needs warranty repair work, what is the probability that it is a brand Xiaomi?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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

Q5

Problem 5: A chain of robot cleaner stores sells three different brands of robot vacuums.
Of its robot vacuums sales, 55% are Xiaomi, 35% are iLife, and 10% are Philips. Each
manufacturer offers a 1-year warranty on parts and labor. It is known that 9% of Xiaomi
robot vacuums require warranty repair work, whereas the corresponding percentages for
iLife and Philips are 10% and 8%, respectively.
If a customer returns to the store with a robot vacuums that needs warranty repair
work, what is the probability that it is a brand Xiaomi?
Transcribed Image Text:Problem 5: A chain of robot cleaner stores sells three different brands of robot vacuums. Of its robot vacuums sales, 55% are Xiaomi, 35% are iLife, and 10% are Philips. Each manufacturer offers a 1-year warranty on parts and labor. It is known that 9% of Xiaomi robot vacuums require warranty repair work, whereas the corresponding percentages for iLife and Philips are 10% and 8%, respectively. If a customer returns to the store with a robot vacuums that needs warranty repair work, what is the probability that it is a brand Xiaomi?
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