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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. | | | | | | | | | | | |

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. | | | | | | | | | | | |

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
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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 |||||||||| |||||||||||||
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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