Grades can be converted into numbers (as in calculating a GPA where an A=4, B=3, C=2, D=1, and F=0
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 0.20+0.25+0.30+0.10+0.15=1
b. Find the means grade for this class.
4X0.20=0.8
3X0.25=0.75
2X0.30=0.6
1X0.10=0.1
0X0.15=0.0
0.8+0.75+0.6+0.1+0.0=2.25
Find the standard deviation
c. 2.25/5=0.45
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