13. An individual claims to have extrasensory perception (ESP). As a test, a fair coin is flipped...

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13. An individual claims to have extrasensory perception (ESP). As a test, a fair coin is flipped ten times, and he is asked to predict in advance the outcome. Our individual gets seven out of ten correct. What is the probability he would have done at least this well if he had no ESP? (Explain why the relevant probability is P[X > 7} and not P{X = 7}.)

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