Question: See attached A new lie-detector test has been devised and must be tested before it is put into use. Two hundred people are selected at

See attached

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, 80% 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 wil not have lied given that the subject failed the test? What is the probability that a randomly chosen subject will have lied given that the subject failed the test? (Round to four decimal places as needed.) What is the probability that the subject will not have lied given that the subject failed the test

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