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A lie detector is accurate 3/4 of the time. That is, if a person is telling the truth, the lie detector indicates he is telling

A lie detector is accurate 3/4 of the time. That is, if a person is telling the truth, the lie detector indicates he is telling the truth with probability 3/4 while if the person is lying, the lie detector indicates that he is lying with probability 3/4. Assume that a person taking the lie detector test is unable to influence its results and also assume that 95% of the people taking the test tell the truth. What is the probability that a person is lying if the lie detector indicates that he is lying?

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