If necessary consult a list of formulas Ex VarX Value of 0 0
(If necessary, consult a list of formulas.)
E(x)=
Var(X)=
| Value | |
| 0 | 0.05 |
| 10 | 0.05 |
| 20 | 0.75 |
| 30 | 0.05 |
| 40 | 0.05 |
| 50 | 0.05 |
Solution
Consider this table:
x P(x) xP(x) x^2 P(x)
0 0.05 0 0
10 0.05 0.5 5
20 0.75 15 300
30 0.05 1.5 45
40 0.05 2 80
50 0.05 2.5 125
Total 21.5 555
Thus,
E(x) = 21.5 [ANSWER]
var(x) = E(x^2) - E(x)^2 = 555 - 21.5^2 = 92.75 [answer]
