The following probabilities for grades in management science have been determined based on past records:
|
Grade
|
Probability
|
|
A
|
0.10
|
|
B
|
0.30
|
|
C
|
0.40
|
|
D
|
0.10
|
|
F
|
0.10
|
|
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.