A manufacturing firm finds that 70% of its new hires turn out to be good workers and 30% turn out to be poor workers. All current workers are advised to qualify a reasoning test. Of the good workers, 80% pass it and 40% of the poor workers pass it. If the company makes the reasoning test be a part of its hiring procedure, what then is the probability of the new hires that will turn out to be; i. Good workers? ii. Poor workers? iii. Depict the above probabilities on the Bayes’ tree diagram.
A manufacturing firm finds that 70% of its new hires turn out to be good workers and 30% turn out to be poor workers. All current workers are advised to qualify a reasoning test. Of the good workers, 80% pass it and 40% of the poor workers pass it. If the company makes the reasoning test be a part of its hiring procedure, what then is the probability of the new hires that will turn out to be; i. Good workers? ii. Poor workers? iii. Depict the above probabilities on the Bayes’ tree diagram.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 7CC
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. A manufacturing firm finds that 70% of its new hires turn out to be good workers and 30% turn out to be poor workers. All current workers are advised to qualify a reasoning test. Of the good workers, 80% pass it and 40% of the poor workers pass it. If the company makes the reasoning test be a part of its hiring procedure, what then is the probability of the new hires that will turn out to be;
i. Good workers?
ii. Poor workers?
iii. Depict the above probabilities on the Bayes’ tree diagram.
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