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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,