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Grades can be converted into numbers (as in calculating a GPA) where an A=4, B=3, C=2, D=1, and F=0. For a fictional class, the grade distribution was: X(Grade) 4 3 2 1 0 P(X) 0.20 0.25 0.30 0.10 0.15 a) Verify that this is a legitimate probability distribution. b) Find the mean grade for this class. c) Find the standard deviation.
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