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Suppose that the distribution of exam scores in a class of 200 student is a normal distribution. Also suppose that the distribution's mean is 60

Suppose that the distribution of exam scores in a class of 200 student is a normal distribution. Also suppose that the distribution's mean is 60 points, and its standard deviation is 20.

a)Use the68-95-99.7 rule to determine what percent of the scores do we expect to fall above 80?

b) How many scores do we expect to fall above 80?

c) Which z-score corresponds to the exam score from part a and b?

d) What percent of scores do we expect to fall above 60?

e) Calculate the Exam score associated with the z-score z=1.5.

f) Calculate the z-score associated with the Exam score 85.

Round all answers to the second decimal place as needed

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