The following table contains the probability distribution for X = the number of traffic accidents reported...
The following table contains the probability distribution for
X = the number of traffic accidents reported in a day in
Corvallis, Oregon.
|
X |
1 |
5 |
9 |
12 |
15 |
41 |
|
P(X) |
0.05 |
0.10 |
0.35 |
0.35 |
0.10 |
0.05 |
The variance of the number of accidents is ________.
(Round your answer to three decimal places.)
Homework Answers
| x | P(x) | xP(x) | x2P(x) |
| 1 | 0.05 | 0.050 | 0.050 |
| 5 | 0.1 | 0.500 | 2.500 |
| 9 | 0.35 | 3.150 | 28.350 |
| 12 | 0.35 | 4.200 | 50.400 |
| 15 | 0.1 | 1.500 | 22.500 |
| 41 | 0.05 | 2.050 | 84.050 |
| total | 11.450 | 187.850 | |
| E(x) =μ= | ΣxP(x) = | 11.4500 | |
| E(x2) = | Σx2P(x) = | 187.8500 | |
| Var(x)=σ2 = | E(x2)-(E(x))2= | 56.748 |
variance of the number of accidents is =56.748
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