Suppose 25% of all cars in a particular state emit excessive pollution. A particular issions test is 99% accurate when applied to cars which are known to emit excessiv llution, but this same test also indicates excessive pollution 17% of the time when plied to cars that are emission-compliant. a) What is the chance the test indicates a randomly selected car is emitting too mu pollution? b) Given that the test suggests a car is emitting excessive pollution, with what

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose 25% of all cars in a particular state emit excessive pollution. A particular
emissions test is 99% accurate when applied to cars which are known to emit excessive
pollution, but this same test also indicates excessive pollution 17% of the time when
applied to cars that are emission-compliant.
a) What is the chance the test indicates a randomly selected car is emitting too much
pollution?
b) Given that the test suggests a car is emitting excessive pollution, with what
probability is the car actually emitting excessive pollution?
Transcribed Image Text:Suppose 25% of all cars in a particular state emit excessive pollution. A particular emissions test is 99% accurate when applied to cars which are known to emit excessive pollution, but this same test also indicates excessive pollution 17% of the time when applied to cars that are emission-compliant. a) What is the chance the test indicates a randomly selected car is emitting too much pollution? b) Given that the test suggests a car is emitting excessive pollution, with what probability is the car actually emitting excessive pollution?
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