What is the standard deviation of the following probability
What is the standard deviation of the following probability distribution?
0.15
What is the standard deviation of the following probability distribution?
2.6
4.7
5.4
3.9
| 0 | 0.20 | ||||||||||||||||||||||||
| 2 | 0.05 | ||||||||||||||||||||||||
| 4 | 0.35 | ||||||||||||||||||||||||
| 6 | 0.25 | ||||||||||||||||||||||||
| 0.15 What is the standard deviation of the following probability distribution?
|
Solution
Consider:
Thus,
Var(x) = E(x^2) - E(x)^2 = 6.76
Therefore,
s(x) = sqrt [Var(x)] = 2.6 [ANSWER, A]
| x | P(x) | x P(x) | x^2 P(x) |
| 0 | 0.2 | 0 | 0 |
| 2 | 0.05 | 0.1 | 0.2 |
| 4 | 0.35 | 1.4 | 5.6 |
| 6 | 0.25 | 1.5 | 9 |
| 8 | 0.15 | 1.2 | 9.6 |
