2. A polygraph is a lie detector tests. Assume that the test correctly identifies a lie 88% of the time and it correctly identifies the truth and 86% of the time. Since most people have no reason to lie, assume that the probability that a randomly selected person lies is 0.01. a) What is the probability that the test says that a randomly selected person is lying? b) If the test says that the person is lying, what is the probability that the person is saying the truth?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. A polygraph is a lie detector tests. Assume that the test correctly identifies a lie 88% of
the time and it correctly identifies the truth and 86% of the time. Since most people have
no reason to lie, assume that the probability that a randomly selected person lies is 0.01.
a) What is the probability that the test says that a randomly selected person is lying?
b) If the test says that the person is lying, what is the probability that the person is saying
the truth?
Transcribed Image Text:2. A polygraph is a lie detector tests. Assume that the test correctly identifies a lie 88% of the time and it correctly identifies the truth and 86% of the time. Since most people have no reason to lie, assume that the probability that a randomly selected person lies is 0.01. a) What is the probability that the test says that a randomly selected person is lying? b) If the test says that the person is lying, what is the probability that the person is saying the truth?
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