Solution
x | P(x) | E(x)=x*P(x) | E(x^2)=x^2*P(x) | |
0 | 0.3 | 0 | 0 | |
1 | 0.2 | 0.2 | 0.2 | |
2 | 0.15 | 0.3 | 0.6 | |
3 | 0.35 | 1.05 | 3.15 | |
Sum | 6 | 1 | 1.55 | 3.95 |
Var (x) = E(x^2) - (E(x))2
Var (x) = 3.95 - 1.552
Var (x) = 1.5475
SD(x) = sqrt(1.5475)
SD(x) = 1.24
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