Question

4 students have the following grades (out of 100): 56, 78, 92, 43. We pick two...

4 students have the following grades (out of 100): 56, 78, 92, 43. We pick two random students from these 4.

A = Average grade of the two students

What is the expected value and the variance of A?

Math   Statistics-And-Probability   
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Answer #1

A can take values 56,78,92,43,67,74,49.5,85,60.5,67.5

Probability distribution of A:

A P(A)
56
78
92
43
67
74
49.5
85
60.5
67.5

and,

So,

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