A new lie-detector test has been devised and must be tested before it is put into use. Two hundred people are selected at random, and each person draws and keeps a card from a box of 200 cards. Half the cards instruct the person to lie and the others instruct the person to tell the truth. Of those who lied, 90% fail the new lie-detector test (that is the test indicated lying). Of those who told the truth, 5% failed the test. What is the probability that a randomly chosen subject will have lied given that the subject failed the test? That the subject will not have lied given that the subject failed the test?
A new lie-detector test has been devised and must be tested before it is put into use. Two hundred people are selected at random, and each person draws and keeps a card from a box of 200 cards. Half the cards instruct the person to lie and the others instruct the person to tell the truth. Of those who lied, 90% fail the new lie-detector test (that is the test indicated lying). Of those who told the truth, 5% failed the test. What is the probability that a randomly chosen subject will have lied given that the subject failed the test? That the subject will not have lied given that the subject failed the test?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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A new lie-detector test has been devised and must be tested before it is put into use. Two hundred people are selected at random, and each person draws and keeps a card from a box of 200 cards. Half the cards instruct the person to lie and the others instruct the person to tell the truth. Of those who lied, 90% fail the new lie-detector test (that is the test indicated lying). Of those who told the truth, 5% failed the test. What is the probability that a randomly chosen subject will have lied given that the subject failed the test? That the subject will not have lied given that the subject failed the test?
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