X | P(X) | X.P(X) | X².P(X) |
-5 | 1/36 = 0.0278 | -0.1389 | 0.6944 |
-4 | 2/36 = 0.0556 | -0.2222 | 0.8889 |
-3 | 3/36 = 0.0833 | -0.2500 | 0.7500 |
-2 | 4/36 = 0.1111 | -0.2222 | 0.4444 |
-1 | 5/36 = 0.1389 | -0.1389 | 0.1389 |
0 | 6/36 = 0.1667 | 0.0000 | 0.0000 |
1 | 5/36 = 0.1389 | 0.1389 | 0.1389 |
2 | 4/36 = 0.1111 | 0.2222 | 0.4444 |
3 | 3/36 = 0.0833 | 0.2500 | 0.7500 |
4 | 2/36 = 0.0556 | 0.2222 | 0.8889 |
5 | 1/36 = 0.0278 | 0.1389 | 0.6944 |
Total | 1 | 0 | 5.8333 |
Variance, σ² = Ʃ(X².P(X)) - μ² = 5.83333333333333 - 0² = 5.8333
Answer B.
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