SOLUTION: The following probabilities for grades in management science have been determined based on past records: Grade Probability A .10 B .30 C .40 D .10 F .10 1.00 The grades are

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Question 910306: The following probabilities for grades in management science have been determined based on past records:
Grade Probability
A .10
B .30
C .40
D .10
F .10
1.00
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 variance for the course.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
Expected = = 2.2, C the expected grade
2.2 the mean in calculating the variance.
n p np n-2.2 (n-2.2)^2
4 0.1 0.4 1.8 3.24
3 0.3 0.9 0.8 0.64
2 0.4 0.8 -0.2 0.04
1 0.1 0.1 -1.2 1.44
0 0.1 0 -2.2 4.84
2.2 10.2 variance

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