a. What is the probability that the component scored a grade B and eventually failed? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability of a particular component eventually failing? Answer in exact fraction, or rounded to at least 4 decimal places. c. If a component eventually passed, what is the probability that it had received a quality score of B? Answer in exact fraction, or rounded to at least 4 decimal places.

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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A mobile component is given a quality score of grade A or B after production is complete. 70 out of 100 components were given a quality score of A
and the rest B. Furthermore, 14% of the components given a quality score A eventually failed and the failure rate for B grade components was 28%.
a. What is the probability that the component scored a grade B and eventually failed?
Answer in exact fraction, or rounded to at least 4 decimal places.
b. What is the probability of a particular component eventually failing?
Answer in exact fraction, or rounded to at least 4 decimal places.
c. If a component eventually passed, what is the probability that it had received a quality score of B?
Answer in exact fraction, or rounded to at least 4 decimal places.
Transcribed Image Text:A mobile component is given a quality score of grade A or B after production is complete. 70 out of 100 components were given a quality score of A and the rest B. Furthermore, 14% of the components given a quality score A eventually failed and the failure rate for B grade components was 28%. a. What is the probability that the component scored a grade B and eventually failed? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability of a particular component eventually failing? Answer in exact fraction, or rounded to at least 4 decimal places. c. If a component eventually passed, what is the probability that it had received a quality score of B? Answer in exact fraction, or rounded to at least 4 decimal places.
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