Question: A polygraph (also called a lie detector) correctly identifies people who are lying 75% of the time. It also correctly identifies people who are telling

A polygraph (also called a lie detector) correctly identifies people who are lying 75% of the time. It also correctly identifies people who are telling the truth 68% of the time. All the students in a statistics class are going to take the polygraph test. They get together beforehand and 90% of them agree to lie during the test. The rest promise to tell the truth. A student from the class is randomly selected. A. Find the probability that the student lies and the polygraph says that the student lies. B. Find the probability that the student tells the truth and that the polygraph says the student lies. C. Find the probability that the polygraph says that the student lies. (How does that compare to the actual probability that a randomly chose student lies?)

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