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25. On a final exam in Dr. Mean's course (some say Dr. Mean is not nice and others say he is just average), the grades
25. On a final exam in Dr. Mean's course (some say Dr. Mean is not nice and others say he is just average), the grades are normally distributed with a mean of 77 and a standard deviation of 12.
a) Find the probability that a randomly selected student makes an F on the final exam (Less than 65).
b) Using the Central Limit Theorem, find the probability that a class of 30 make an F AVERAGE (Less than 65).
c) Interpret the results.
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