W23 HW2 Compound Events and Bayes Thm: Problem 3 (1 point) The police department is trying a new lie-detector test. When a person is really lying, the test correctly detects the lie $85%$ of the times. When a person is saying the truth, the test incorrectly detects a lie $3%$ of the times. Also suppose that on average, $14%$ of people arrested lie during their interrogations. Mike is arrested, and during his interrogation, the lie-detector test indicates he is speaking the truth.

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W23 HW2 Compound Events and Bayes Thm: Problem 3 (1 point) The police department is trying a new lie-detector test. When a person is really lying, the test correctly detects the lie

85%

of the times. When a person is saying the truth, the test incorrectly detects a lie

3%

of the times. Also suppose that on average,

14%

of people arrested lie during their interrogations. Mike is arrested, and during his interrogation, the lie-detector test indicates he is speaking the truth.

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