Some employers use lie detector tests to screen job applicants. Lie detector tests are not completely reliable. Suppose that a polygraph can detect 63% of lies, but incorrectly identifies 11% of true statements as lies. A company gives its job applicants a polygraph test, asking "Did you tell the truth on your job application?". All the applicants answer "Yes", but the test identifies some of those answers as lies, thereby causing the person to fail the test. Suppose that 90% of the job applicants tell the truth during the polygraph test. What is the probability that a person who fails the test was actually telling the truth? O A. 0.001 O B. 0.389 Oc. 0.611 O D. 0.099 O E. 0.567

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section0.11: Simple Probability And Odds
Problem 12E
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10
OI
Use a tree diagram to find the Indicated probability.
Some employers use lie detector tests to screen job applicants. Lie detector tests are not completely reliable. Suppose that a polygraph can detect 63% of lies, but incorrectly identifies 11% of true statements as lies. A company gives its job
applicants a polygraph test, asking "Did you tell the truth on your job application?". All the applicants answer "Yes", but the test identifies some of those answers as lies, thereby causing the person to fail the test. Suppose that 90% of the job
applicants tell the truth during the polygraph test. What is the probability that a person who fails the test was actually telling the truth?
O A. 0.001
O B. 0.389
Oc. 0.611
O D. 0.099
O E. 0.567
Click to select your answer.
MacBook Air
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F7
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Transcribed Image Text:10 OI Use a tree diagram to find the Indicated probability. Some employers use lie detector tests to screen job applicants. Lie detector tests are not completely reliable. Suppose that a polygraph can detect 63% of lies, but incorrectly identifies 11% of true statements as lies. A company gives its job applicants a polygraph test, asking "Did you tell the truth on your job application?". All the applicants answer "Yes", but the test identifies some of those answers as lies, thereby causing the person to fail the test. Suppose that 90% of the job applicants tell the truth during the polygraph test. What is the probability that a person who fails the test was actually telling the truth? O A. 0.001 O B. 0.389 Oc. 0.611 O D. 0.099 O E. 0.567 Click to select your answer. MacBook Air O00 F4 F7 FB F9 F10 esc F3 F5 FZ #3 %24 & 4. 6 7 U P
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