Suppose you are deciding whether to take Professor Smiths cl

Suppose you are deciding whether to take Professor Smith’s class or Professor Michael\'s class next semester. You happen to know that each professor gives A\'s to those students scoring greater than 90 on the final exam and F\'s to those students scoring less than 60 on the final exam. You also happen to know that the mean is 74 and standard deviation is 7 for Professor Smith\'s final and the mean is 78 with a standard deviation 5 for Professor Michael\'s class.

(A) Would a score of 90 be better in Professor Smith’s class or Michael\'s?

(B) If a student scored two standard deviations above the mean, what would their score be in each professor’s class?

What percentage of students in each class would score more than two standard deviations above the mean if the distribution of scores was normal?

What percentage of students in each class would score more than two standard deviations above the mean if the distribution is not known? Anywhere from...

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