Unformatted text preview: available options). 4. Among a certain group of people 5% are (professional) liers. A lie detector test on a lier is found to be positive with probability 0.94. If the test is administered to a non-lier, it is positive with probability 0.08. Given that the test is positive for a randomly picked person from that group, what is the probability that he is a lier ? 5. A coin is tossed an infinite number of times. Show that k heads are observed at the n th tossing, but not earlier equals . 1 1 k n k q p k n- --6. A fair die is rolled 6 times. Find the probability that one shows twice, three shows thrice and five shows once....
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- Spring '11