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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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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