The management of a company finds that 27% of the administrative assistants hired are unsatisfactory. The personnel director is instructed to devise a test that will improve the situation. 100 employed administrative assistants are chosen at random and are given the newly constructed test. Out of these, 73% of the satisfactory administrative assistants pass the test and 37% of the unsatisfactory administrative assistants pass. Based on these results, if a person applies for a job, takes the test, and passes it, what is the probability that he or she is a satisfactory administrative assistant? If the applicant fails the test, what is the probability that he or she is a satisfactory administrative assistant?

Name: The management of a company finds that 27% of the administrative assis
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Description: The management of a company finds that 27% of the administrative assistants hired are unsatisfactory. The personnel director is instructed to devise a test that will improve the situation. 100 employed administrative assistants are chosen at random a

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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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The management of a company finds that 27% of the administrative assistants hired are unsatisfactory. The personnel director is instructed to devise a test that will improve the situation. 100 employed administrative assistants are chosen at random and are given the newly constructed test. Out of these, 73% of the satisfactory administrative assistants pass the test and 37% of the unsatisfactory administrative assistants pass. Based on these results, if a person applies for a job, takes the test, and passes it, what is the probability that he or she is a satisfactory administrative assistant? If the applicant fails the test, what is the probability that he or she is a satisfactory administrative assistant?

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