a. What is the probability that the inspector determines that the material is defective? b. What is the probability that the inspector determines that the material is not defective?, c. A material is selected at random, compute the probability that it is NOT defective, given that the inspector determines that the material is NOT defective.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Eighty-five percent (85%) of the material of a production company is not defective, while the
remaining 15% is defective. If the material is defective, an inspector correctly determines that the
material is defective 92% of the time; however, if the material is not defective, an inspector
incorrectly determines that the material is defective 5% of the time.
a. What is the probability that the inspector determines that the material is defective?
b. What is the probability that the inspector determines that the material is not defective?
A material is selected at random, compute the probability that it is NOT defective, given that
c.
the inspector determines that the material is NOT defective.
Transcribed Image Text:Eighty-five percent (85%) of the material of a production company is not defective, while the remaining 15% is defective. If the material is defective, an inspector correctly determines that the material is defective 92% of the time; however, if the material is not defective, an inspector incorrectly determines that the material is defective 5% of the time. a. What is the probability that the inspector determines that the material is defective? b. What is the probability that the inspector determines that the material is not defective? A material is selected at random, compute the probability that it is NOT defective, given that c. the inspector determines that the material is NOT defective.
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