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Testing an ESP clalim

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A coin is tossed 20 times. A person, who claims to have ESP is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or more times by guessing? Does this probabiity seem to verify her claim?

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Solution Summary

This solution shows how to test a person's claim that she has ESP.

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Use the normal distribution to approximate the desired probability
A coin is tossed 20 times. A person, who claims to have ESP, is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or more times by guessing? Does this probability seem to verify her claim?
If the person guesses the outcome of a fair coin the probability of success is . The number of correct guesses in such trials ...

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