In his book Chances: Risk and Odds in Everyday Life, James Burke states that there is a 72% chance a polygraph test (lie detector test) will catch a person who is, in fact, lying. Furthermore, there is approximately a 7% chance that the polygraph will falsely accuse someone of lying. (Round your answers to one decimal place.) (a) Suppose a person answers 90% of a long battery of questions truthfully. What percentage of the answers will the polygraph wrongly indicate are lies? (b) Suppose a person answers 10% of a long battery of questions with lies. What percentage of the answers will the polygraph correctly indicate are lies?   % (c) Repeat parts (a) and (b) if 40% of the questions are answered truthfully and 60% are answered with lies. (a)   % (b)  % (d) Repeat parts (a) and (b) if 10% of the questions are answered truthfully and the rest are answered with lies. (a)  % (b)  %

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 15CR
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In his book Chances: Risk and Odds in Everyday Life, James Burke states that there is a 72% chance a polygraph test (lie detector test) will catch a person who is, in fact, lying. Furthermore, there is approximately a 7% chance that the polygraph will falsely accuse someone of lying. (Round your answers to one decimal place.)

(a) Suppose a person answers 90% of a long battery of questions truthfully. What percentage of the answers will the polygraph wrongly indicate are lies?


(b) Suppose a person answers 10% of a long battery of questions with lies. What percentage of the answers will the polygraph correctly indicate are lies?
  %

(c) Repeat parts (a) and (b) if 40% of the questions are answered truthfully and 60% are answered with lies.
(a)   %
(b)  %

(d) Repeat parts (a) and (b) if 10% of the questions are answered truthfully and the rest are answered with lies.
(a)  %
(b)  %

 

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