Lie detectors are controversial instruments, barred from use as evidence in many courts. Nonetheless, many employers use lie detector screening as part of their hiring process. There has been some research, but no agreement, about the reliability of polygraph tests. Based on this research, suppose that a polygraph can detect 67% of lies, but incorrectly identifies 16% of true statements as lies. A company believes that 95% of its job applicants are trustworthy. The company gives everyone a polygraph test, asking "Have you ever stolen anything from your place of work?" Naturally, all the applicants answer "No," but the polygraph identifies some of those answers as lies, making the person ineligible for a job. Lie detectors are controversial instruments, barred from use as evidence in many co as lies. A company believes that 95% of its job applicants are trustworthy. The comp 3 a) Here is the outline of a probability tree for this situation. Fill in the probabilities. -Polygraph says "Lie" -Polygraph says "Doesn't Lie" -Polygraph says "Lie" Polygraph says "Doesn't Lie" Trustworthy Dishonest (Type integers or decimals. Do not round.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Question

A3

Lie detectors are controversial instruments, barred from use as evidence in many courts. Nonetheless, many employers use lie detector screening as part of their
hiring process. There has been some research, but no agreement, about the reliability of polygraph tests. Based on this research, suppose that a polygraph can
detect 67% of lies, but incorrectly identifies 16% of true statements as lies. A company believes that 95% of its job applicants are trustworthy. The company gives
everyone a polygraph test, asking "Have you ever stolen anything from your place of work?" Naturally, all the applicants answer "No," but the polygraph identifies
some of those answers as lies, making the person ineligible for a job.
S
Lie detectors are controversial instruments, barred from use as evidence in many c
as lies. A company believes that 95% of its job applicants are trustworthy. The comp
Trustworthy
a) Here is the outline of a probability tree for this situation. Fill in the probabilities.
Polygraph says "Lie"
-Polygraph says "Doesn't Lie"
-Polygraph says "Lie"
Polygraph says "Doesn't Lie"
Dishonest
c
(Type integers or decimals. Do not round.)
Transcribed Image Text:Lie detectors are controversial instruments, barred from use as evidence in many courts. Nonetheless, many employers use lie detector screening as part of their hiring process. There has been some research, but no agreement, about the reliability of polygraph tests. Based on this research, suppose that a polygraph can detect 67% of lies, but incorrectly identifies 16% of true statements as lies. A company believes that 95% of its job applicants are trustworthy. The company gives everyone a polygraph test, asking "Have you ever stolen anything from your place of work?" Naturally, all the applicants answer "No," but the polygraph identifies some of those answers as lies, making the person ineligible for a job. S Lie detectors are controversial instruments, barred from use as evidence in many c as lies. A company believes that 95% of its job applicants are trustworthy. The comp Trustworthy a) Here is the outline of a probability tree for this situation. Fill in the probabilities. Polygraph says "Lie" -Polygraph says "Doesn't Lie" -Polygraph says "Lie" Polygraph says "Doesn't Lie" Dishonest c (Type integers or decimals. Do not round.)
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Follow-up Question
What is the probability that a random job applicant will be
an honest workeran honest worker
who is cleared by the​ polygraph?
 
The probability that a random job applicant is
an honest workeran honest worker
who is cleared by the polygraph is
enter your response here.
 
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