Suppose a person claims to have extrasensory perception (ESP) and says she can read mental images (75

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Suppose a person claims to have extrasensory perception (ESP) and says she can read mental images \(75 \%\) of the time.

We set up an experiment where she must determine whether we are looking at a picture of a circle or a square. We agree that if she can correctly identify the mental image at least five out of six times, we will grant her claim.

a. What is the probability of granting her claim if she is in fact only guessing?

b. What is the probability of denying her claim if she really does have the ability she claims?

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