Problem 4: A company that manufactures video cameras produces a basic model, intermediate model and a deluxe model. Over the past year, 40% of the cameras sold have been of the basic model; 20% of the intermediate model; 40% of the deluxe model. Of those buying the basic model, 2% purchase an extended warranty, whereas 2% for an intermediate model and 3% for a deluxe model. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a intermediate model?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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The Law of total Probability

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Problem 4: A company that manufactures video cameras produces a basic model,
intermediate model and a deluxe model. Over the past year, 40% of the cameras sold
have been of the basic model; 20% of the intermediate model; 40% of the deluxe model.
Of those buying the basic model, 2% purchase an extended warranty, whereas 2% for an
intermediate model and 3% for a deluxe model.
If you learn that a randomly selected purchaser has an extended warranty, how likely is it
that he or she has a intermediate model?
Transcribed Image Text:Problem 4: A company that manufactures video cameras produces a basic model, intermediate model and a deluxe model. Over the past year, 40% of the cameras sold have been of the basic model; 20% of the intermediate model; 40% of the deluxe model. Of those buying the basic model, 2% purchase an extended warranty, whereas 2% for an intermediate model and 3% for a deluxe model. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a intermediate model?
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