Statistics questions
#6
| x | P(x) | xP(x) | x^2P(X) |
| 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 0 |
| 2 | 0.003 | 0.006 | 0.012 |
| 3 | 0.021 | 0.063 | 0.189 |
| 4 | 0.079 | 0.316 | 1.264 |
| 5 | 0.261 | 1.305 | 6.525 |
| 6 | 0.266 | 1.596 | 9.576 |
| 7 | 0.283 | 1.981 | 13.867 |
| 8 | 0.087 | 0.696 | 5.568 |
| 1.000 | 5.963 | 37.001 | |
| 1.443631 | |||
| 1.2015119642 | |||
Examples 1 & 5
| x | P(x) | x*P(x) | (x^2)*P(x) | ||
| 0 | 0.250 | 0.000 | 0.000 | ||
| 1 | 0.500 | 0.500 | 0.500 | ||
| 2 | 0.250 | 0.500 | 1.000 | ||
| 1.000 | μ = | 1.000 | 1.5 | <-- sum of column E | |
| (^ sum of | σ2 = | 0.5 | <-- sum of column E - μ2 | ||
| column D) | σ = | 0.7071067812 | <-- standard deviation (square root of σ2) | ||