Homework SourseCalculate the mean the variance and the standard deviation o
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution.(Negative values should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.)
| x | 44 | 21 | 11 | 3 |
| P(X = x) | 0.54 | 0.26 | 0.13 | 0.07 |
Solution
Consider:
Thus,
E(x) = Expected value = mean = -30.86 [MEAN]
Var(x) = E(x^2) - E(x)^2 = 224.1204 [VARIANCE]
s(x) = sqrt [Var(x)] = 14.97065129 [STANDARD DEVIATION]
| x | P(x) | x P(x) | x^2 P(x) |
| -44 | 0.54 | -23.76 | 1045.44 |
| -21 | 0.26 | -5.46 | 114.66 |
| -11 | 0.13 | -1.43 | 15.73 |
| -3 | 0.07 | -0.21 | 0.63 |
