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Traffic Accidents The county highway department recorded
Chapter 5, Problem 6E(choose chapter or problem)
The county highway department recorded the following probabilities for the number of accidents per day on a certain freeway for one month. The number of accidents per day and their corresponding probabilities are shown. Find the mean, variance, and standard deviation.
Number of accidents X |
0 |
1 |
2 |
3 |
4 |
Probability P(X) |
0.4 |
0.2 |
0.2 |
0.1 |
0.1 |
Questions & Answers
QUESTION:
The county highway department recorded the following probabilities for the number of accidents per day on a certain freeway for one month. The number of accidents per day and their corresponding probabilities are shown. Find the mean, variance, and standard deviation.
Number of accidents X |
0 |
1 |
2 |
3 |
4 |
Probability P(X) |
0.4 |
0.2 |
0.2 |
0.1 |
0.1 |
Step 1 of 2
We have to find the Mean, Variance and Standard deviation of the given distribution
The given distribution is
|
No.of accidents (X) |
0 |
1 |
2 |
3 |
4 |
|
Probability P(X) |
0.4 |
0.2 |
0.2 |
0.1 |
0.1 |
\(\begin{aligned} \text { Mean } & =E(X) \\ & =x \times P(x) \\ & =0(0.4)+1(0.2)+2(0.2)+3(0.1)+4(0.1) \\ & =1.3 \end{aligned}\)