The personnel department of a particular company has observed that 20% of the people the company hires are dismissed within a year because they are unable to perform adequately. To reduce the amount of turnover, the company decides to administer a test to all applicants. Data collected over several years suggest that 85% of new hires who remain with the company pass the test, and 95% of new hires who are dismissed fail the test. Obtain the fraction of new hires who pass the test will be dismissed within a year. Obtain the fraction of new hires who fail the test will be dismissed within a year. You are interviewing a candidate who has failed the test, but you decide to hire the candidate anyway. Calculate the probability that this person will be with the company 1 year from now. | | | | | | | | | | | |

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The personnel department of a particular company has observed that 20% of
the people the company hires are dismissed within a year because they are
unable to perform adequately. To reduce the amount of turnover, the
company decides to administer a test to all applicants. Data collected over
several years suggest that 85% of new hires who remain with the company
pass the test, and 95% of new hires who are dismissed fail the test.
Obtain the fraction of new hires who pass the test will be dismissed
within a year.
Obtain the fraction of new hires who fail the test will be dismissed
within a year.
You are interviewing a candidate who has failed the test, but you
decide to hire the candidate anyway. Calculate the probability that this
person will be with the company 1 year from now.
75%
Done
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Transcribed Image Text:9:05 AM Sun May 22 Cancel RESET The personnel department of a particular company has observed that 20% of the people the company hires are dismissed within a year because they are unable to perform adequately. To reduce the amount of turnover, the company decides to administer a test to all applicants. Data collected over several years suggest that 85% of new hires who remain with the company pass the test, and 95% of new hires who are dismissed fail the test. Obtain the fraction of new hires who pass the test will be dismissed within a year. Obtain the fraction of new hires who fail the test will be dismissed within a year. You are interviewing a candidate who has failed the test, but you decide to hire the candidate anyway. Calculate the probability that this person will be with the company 1 year from now. 75% Done |||||||||| |||||||||||||
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