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Lie Detector: Suppose a lie detector allows 20% of all lies to go undetected. (a

ID: 3058493 • Letter: L

Question

Lie Detector: Suppose a lie detector allows 20% of all lies to go undetected. (a) If you take the test and tell 10 lies, what is the probability of having 4 or more go undetected? Round your answer to 3 decimal places. (b) Would 4 undetected lies be an unusually high number* of undetected lies? Use the criteria that a number (x) is unusually large if P(x or more) 0.05. O Yes, that is an unusually high number of undetected lies. O No, that is not an unusually high number of undetected lies. *Unusually low and high number of successes: x successes among n trials is an unusuay high number of successes if P(x or more) 0.05 x successes among n trials is an unusually low number of successes if P(x or fewer) s 0.05

Explanation / Answer

Lie Detector: Suppose a lie detector allows 20% of all lies to go undetected. (a) If you take the test and tell 10 lies, what is the probability of having 4 or more go undetected? Round your answer to 3 decimal places. (b) Would 4 undetected lies be an unusually high number* of undetected lies? Use the criteria that a number (x) is unusually large if P(x or more) 0.05. O Yes, that is an unusually high number of undetected lies. O No, that is not an unusually high number of undetected lies. *Unusually low and high number of successes: x successes among n trials is an unusuay high number of successes if P(x or more) 0.05 x successes among n trials is an unusually low number of successes if P(x or fewer) s 0.05

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