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Describe the shape mean and standard error of the sampling

In order to determine whether you have ESP (extrasensory perception), you are shown the back of a card and asked to guess whether it has a 1, 2, 3, or 4 on the front. The card is selected at random from four cards numbered 1, 2, 3, and 4. This is repeated 100 times, and the number of correct guesses you make is recorded.

a. Describe the shape, mean, and standard error of the sampling distribution of the number of correct guesses if you do not have ESP.

b. What is the probability that you guess right 30 or more times?

c. If a person guesses right 35 times, what would you conclude?

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