Explain probabilites for grades in management science, Operation Management

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The following probabilites for grades in management science have been determined based on the past records:

Grade Probability
A .10
B .30
C .40
D .10
F .10

The grades are assigned on a 4.0 scale, where an A is a 4.0, a B a 3.0, and so on. Determine the expected grade and varience for the course

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