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. Required:
a. Suppose a person answers 87% of a long battery of questions truthfully. What percentage of the answers will the polygraph wrongly indicate are lies?
b. Suppose a person answers 13% of a long battery of questions with lies. What percentage of the answers will the polygraph correctly indicate are lies?

a) 6.09 %

b) 9.36 %

Step-by-step explanation:

a)Given  

% of questions that are truthful = 87% = -.87

% of right questions that are falsely indicated as lies = 7%

Percentage of the answers that the polygraph wrongly indicate as lies = 0.87 * 0.07 = 0.0609 = 0.1 = 10%

b) % of answers that are lies = 13% = 0.13

% of answers that are correctly caught as lies = 72%

percentage of the answers that the polygraph will correctly indicate as lies

= 0.13 * 0.72 = 0.0936 = 0.1 = 10 %

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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