The HR department is trying to fill a vacant position for a job with a small talent pool. Valid applications arrive every week or so, and the applicants all seem to bring different levels of expertise. For each applicant, the HR manager gathers information by trying to verify various claims on the candidate's résumé, but some doubt about "fit" always lingers when a decision to hire or not is to be made. Suppose that hiring an employee who is a bad fit for the company results in an error cost of $200, but failing to hire a good employee results in an error cost of $300 to the company. Although it is impossible to tell in advance whether an employee is a good fit, assume that the probability that an applicant is a "good fit" is 0.65, while the probability that an applicant is a "bad fit" is 1 – 0.65 = 0.35. Hiring an applicant who is a good fit, as well as not hiring an applicant who is a bad fit, results in no error cost to the company. For each decision in the following table, calculate and enter the expected error cost of that decision. Reality Good Fit Bad Fit Decision p=0.65 p=0.35 Expected Error Cost Hire Cost: 0 Cost: $200 2$ Do Not Hire Cost: $300 Cost: 0 2$ hire Suppose an otherwise qualified applicant applies for a job. not hire In order to minimize expected error costs, the HR department should the applicant.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Answer all

The HR department is trying to fill a vacant position for a job with a small talent pool. Valid applications arrive every week or so, and the applicants all
seem to bring different levels of expertise. For each applicant, the HR manager gathers information by trying to verify various claims on the
candidate's résumé, but some doubt about "fit" always lingers when a decision to hire or not is to be made.
Suppose that hiring an employee who is a bad fit for the company results in an error cost of $200, but failing to hire a good employee results in an
error cost of $300 to the company. Although it is impossible to tell in advance whether an employee is a good fit, assume that the probability that an
applicant is a "good fit" is 0.65, while the probability that an applicant is a "bad fit" is 1 – 0.65 = 0.35. Hiring an applicant who is a good fit, as well as
not hiring an applicant who is a bad fit, results in no error cost to the company.
For each decision in the following table, calculate and enter the expected error cost of that decision.
Reality
Good Fit
Bad Fit
Decision
p=0.65
p=0.35
Expected Error Cost
Hire
Cost: 0
Cost: $200
2$
Do Not Hire
Cost: $300
Cost: 0
2$
hire
Suppose an otherwise qualified applicant applies for a job.
not hire
In order to minimize expected error costs, the HR department should
the applicant.
Transcribed Image Text:The HR department is trying to fill a vacant position for a job with a small talent pool. Valid applications arrive every week or so, and the applicants all seem to bring different levels of expertise. For each applicant, the HR manager gathers information by trying to verify various claims on the candidate's résumé, but some doubt about "fit" always lingers when a decision to hire or not is to be made. Suppose that hiring an employee who is a bad fit for the company results in an error cost of $200, but failing to hire a good employee results in an error cost of $300 to the company. Although it is impossible to tell in advance whether an employee is a good fit, assume that the probability that an applicant is a "good fit" is 0.65, while the probability that an applicant is a "bad fit" is 1 – 0.65 = 0.35. Hiring an applicant who is a good fit, as well as not hiring an applicant who is a bad fit, results in no error cost to the company. For each decision in the following table, calculate and enter the expected error cost of that decision. Reality Good Fit Bad Fit Decision p=0.65 p=0.35 Expected Error Cost Hire Cost: 0 Cost: $200 2$ Do Not Hire Cost: $300 Cost: 0 2$ hire Suppose an otherwise qualified applicant applies for a job. not hire In order to minimize expected error costs, the HR department should the applicant.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman