Polygraph tests (lie-detector tests) are often routinely administered to employees or prospective employees in sensitive positions. A polygraph test will label subjects + (positive) if it determines the subject is lying and - (negative) if it determines the subject is not lying. Subjects can either be lying or not lying (truthful). According to studies of polygraph reliability, the probability that the polygraph will test + (positive) given/conditional that the subject is actually lying is 0.88. The probability that the polygraph will test - (negative) given the subject is telling the truth (not lying) is 0.84. Assume that 90% chance a subject is telling the truth (10% chance of lying).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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Is the polygraph label independent from whether the subject is lying or not?

A. Yes
B. No
C. Need more information
Polygraph tests (lie-detector tests) are often routinely administered to employees or prospective employees in
sensitive positions. A polygraph test will label subjects + (positive) if it determines the subject is lying and
(negative) if it determines the subject is not lying. Subjects can either be lying or not lying (truthful).
According to studies of polygraph reliability, the probability that the polygraph will test + (positive)
given/conditional that the subject is actually lying is 0.88. The probability that the polygraph will test -
(negative) given the subject is telling the truth (not lying) is 0.84. Assume that 90% chance a subject is telling
the truth (10% chance of lying).
Transcribed Image Text:Polygraph tests (lie-detector tests) are often routinely administered to employees or prospective employees in sensitive positions. A polygraph test will label subjects + (positive) if it determines the subject is lying and (negative) if it determines the subject is not lying. Subjects can either be lying or not lying (truthful). According to studies of polygraph reliability, the probability that the polygraph will test + (positive) given/conditional that the subject is actually lying is 0.88. The probability that the polygraph will test - (negative) given the subject is telling the truth (not lying) is 0.84. Assume that 90% chance a subject is telling the truth (10% chance of lying).
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