A paint-store chain produces and sells latex and semi-gloss paint. Based on long-range sales, the probability that a customer will purchase latex paint is 0.75. Of those that purchase latex paint, 60% also purchase rollers. But only 30% of semi-gloss paint buyers purchase rollers. A randomly selected buyer purchases a roller and a can of paint; calculate the probability that the paint is latex.
A paint-store chain produces and sells latex and semi-gloss paint. Based on long-range sales, the probability that a customer will purchase latex paint is 0.75. Of those that purchase latex paint, 60% also purchase rollers. But only 30% of semi-gloss paint buyers purchase rollers. A randomly selected buyer purchases a roller and a can of paint; calculate the probability that the paint is latex.
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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![Q6 A paint-store chain produces and sells latex and semi-gloss paint. Based on long-range sales,
the probability that a customer will purchase latex paint is 0.75. Of those that purchase latex
paint, 60% also purchase rollers. But only 30% of semi-gloss paint buyers purchase rollers. A
randomly selected buyer purchases a roller and a can of paint; calculate the probability that the
paint is latex.
(6 marks)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb40c8ac-1413-4451-8b07-5932b46cf960%2F82115f84-822b-43d6-820c-3efd56f9f16a%2Fxkjya54_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q6 A paint-store chain produces and sells latex and semi-gloss paint. Based on long-range sales,
the probability that a customer will purchase latex paint is 0.75. Of those that purchase latex
paint, 60% also purchase rollers. But only 30% of semi-gloss paint buyers purchase rollers. A
randomly selected buyer purchases a roller and a can of paint; calculate the probability that the
paint is latex.
(6 marks)
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