The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (c) below. Number of Accidents P(X = x;) Daily (X) 0.32 1 0.36 2 0.13 0.08 0.06 0.04 0.01 N345 6

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I need help computing the mean number of accidents per day, the standard deviation, and the probability that there will be at least 2 accidents on a given day 

### Probability Distribution of Daily Traffic Accidents in a Small Town

The table below provides the probability distribution for the number of traffic accidents occurring daily in a small town. This distribution indicates how likely it is for a certain number of traffic accidents to happen on any given day.

| Number of Accidents Daily (X) | P(X = x<sub>i</sub>) |
|-------------------------------|----------------------|
| 0                             | 0.32                 |
| 1                             | 0.36                 |
| 2                             | 0.13                 |
| 3                             | 0.08                 |
| 4                             | 0.06                 |
| 5                             | 0.04                 |
| 6                             | 0.01                 |

#### Explanation:
- **Number of Accidents Daily (X):** This column represents the number of traffic accidents that occur in the town on a daily basis, ranging from 0 to 6.
- **P(X = x<sub>i</sub>):** This column shows the probability associated with each number of daily traffic accidents. For example, there is a 0.32 probability that there will be zero traffic accidents in a day.

### Key Points:
- The highest probability (0.36) is associated with having one traffic accident in a day.
- The lowest probabilities are associated with having five and six accidents, with probabilities of 0.04 and 0.01, respectively.
- This data can be useful for the town’s traffic management and safety planning, helping officials to understand and prepare for the typical number of daily accidents.

Complete any specified parts (a) through (c) based on the details provided in this probability distribution table.
Transcribed Image Text:### Probability Distribution of Daily Traffic Accidents in a Small Town The table below provides the probability distribution for the number of traffic accidents occurring daily in a small town. This distribution indicates how likely it is for a certain number of traffic accidents to happen on any given day. | Number of Accidents Daily (X) | P(X = x<sub>i</sub>) | |-------------------------------|----------------------| | 0 | 0.32 | | 1 | 0.36 | | 2 | 0.13 | | 3 | 0.08 | | 4 | 0.06 | | 5 | 0.04 | | 6 | 0.01 | #### Explanation: - **Number of Accidents Daily (X):** This column represents the number of traffic accidents that occur in the town on a daily basis, ranging from 0 to 6. - **P(X = x<sub>i</sub>):** This column shows the probability associated with each number of daily traffic accidents. For example, there is a 0.32 probability that there will be zero traffic accidents in a day. ### Key Points: - The highest probability (0.36) is associated with having one traffic accident in a day. - The lowest probabilities are associated with having five and six accidents, with probabilities of 0.04 and 0.01, respectively. - This data can be useful for the town’s traffic management and safety planning, helping officials to understand and prepare for the typical number of daily accidents. Complete any specified parts (a) through (c) based on the details provided in this probability distribution table.
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