Compute the mean and variance of the following probability d
Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.) X P(X) 7 .10 10 .30 13 .20 16 .40
Solution
Consider the table:
Thus,
E(x) = 12.7 [ANSWER, MEAN]
Var(x) = E(x^2) - E(x)^2 = 9.81 [ANSWER, VARIANCE]
| x | P(x) | x P(x) | x^2 P(x) |
| 7 | 0.1 | 0.7 | 4.9 |
| 10 | 0.3 | 3 | 30 |
| 13 | 0.2 | 2.6 | 33.8 |
| 16 | 0.4 | 6.4 | 102.4 |
