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5. In a large class of introductory Statistics​ students, the professor has each person toss a...

5. In a large class of introductory Statistics​ students, the professor has each person toss a fair coin 11 times and calculate the proportion of his or her tosses that were heads. The students then report their​ results, and the professor plots a histogram of these several proportions.

​a) What shape would you expect this histogram to​ be? Why?

​b) Where do you expect the histogram to be​ centered?

​c) How much variability would you expect among these​ proportions?

​d) Explain why a Normal model should not be used here.

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