Homework SourseThis table contains the probability distribution for the num
This table contains the probability distribution for the number of car accidents daily in a small city.
# Of Accidents daily(X) P(X=xi)
0 0.10
1 0.20
2 0.45
3 0.15
4 0.05
5 0.05
a. Compute the mean number if accidents per day.
b. Compute the stabdard deviation.
Solution
First prepare table with xp and x^2p
a) Mean = E(x) = sum of xp = 2
b) E(x^2) = 5.4
Var(x) = 5.4-2^2 = 1.4
Std dev = 1.183
| x | 0 | 1 | 2 | 3 | 4 | 5 | |
| p | 0.1 | 0.2 | 0.45 | 0.15 | 0.05 | 0.05 | 1 |
| xp | 0 | 0.2 | 0.9 | 0.45 | 0.2 | 0.25 | 2 |
| x^2p | 0 | 0.2 | 1.8 | 1.35 | 0.8 | 1.25 | 5.4 |
