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In: Statistics and Probability

In his book Chances: Risk and Odds in Everyday Life, James Burke states that there is...

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 50% of the questions are answered truthfully and 50% are answered with lies.

(a) % (b) %

(d) Repeat parts (a) and (b) if 15% of the questions are answered truthfully and the rest are answered with lies.

(a) % (b) %

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orchestra answered 1 year ago
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