Homework Soursex 10 15 20 25 Px 1 3 1 5 1 find the mean 2 find the standar
x 10 15 20 25
P(x) .1 .3 .1 . 5
1. find the mean
2. find the standard deviation
Solution
Consider:
Thus,
E(x) = Expected value = mean = 20 [ANSWER, MEAN]
Var(x) = E(x^2) - E(x)^2 = 30
s(x) = sqrt [Var(x)] = 5.477225575 [ANSWER, STANDARD DEVIATION]
| x | P(x) | x P(x) | x^2 P(x) |
| 10 | 0.1 | 1 | 10 |
| 15 | 0.3 | 4.5 | 67.5 |
| 20 | 0.1 | 2 | 40 |
| 25 | 0.5 | 12.5 | 312.5 |
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