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2. 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. (a) Obtain the fraction of new hires who pass the test will be dismissed within a year. (b) Obtain the fraction of new hires who fail the test will be dismissed within a year. (c) 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.

2. 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. (a) Obtain the fraction of new hires who pass the test will be dismissed within a year. (b) Obtain the fraction of new hires who fail the test will be dismissed within a year. (c) 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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2. 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. (a) Obtain the fraction of new hires who pass the test will be dismissed within a year. (b) Obtain the fraction of new hires who fail the test will be dismissed within a year. (c) 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.
Transcribed Image Text:2. 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. (a) Obtain the fraction of new hires who pass the test will be dismissed within a year. (b) Obtain the fraction of new hires who fail the test will be dismissed within a year. (c) 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.
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