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

In a large class of introductory Statistics​ students, the professor has each person toss a fair coin 12 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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