A factory plant is studying the number of accidents per month. The table below gives the distribution of the number of accidents per month. 0. 1 3 4 p(x) 0.715 0.130 0.072 0.060 0.021 0.002

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What is the probability that 3 or more accidents will occur next month?


Find the probability that at most 2 accidents will occur next month.


Find the expected number of accidents per month.


Find the standard deviation of the number of accidents per month.


When accidents occur, the plant must stop and there is a delay in the production of 3 hours. Find the expected number of delay hours due to accidents each month.


What is the standard deviation of delay hours due to accidents each month?

### Analysis of Monthly Accidents in a Factory Plant

A factory plant is studying the number of accidents per month. The table below gives the distribution of the number of accidents per month.

| \( x \) | 0    | 1     | 2     | 3     | 4     | 5     |
|---------|------|-------|-------|-------|-------|-------|
| \( p(x) \) | 0.715 | 0.130 | 0.072 | 0.060 | 0.021 | 0.002 |

#### Explanation:

- \( x \): Represents the number of accidents per month observed in the factory plant.
- \( p(x) \): Indicates the probability of observing \( x \) number of accidents in a month.

The table shows that the probability of having zero accidents in a month is the highest at 0.715. As the number of accidents increases, the probability decreases, with the probability of having five accidents per month being the lowest at 0.002.
Transcribed Image Text:### Analysis of Monthly Accidents in a Factory Plant A factory plant is studying the number of accidents per month. The table below gives the distribution of the number of accidents per month. | \( x \) | 0 | 1 | 2 | 3 | 4 | 5 | |---------|------|-------|-------|-------|-------|-------| | \( p(x) \) | 0.715 | 0.130 | 0.072 | 0.060 | 0.021 | 0.002 | #### Explanation: - \( x \): Represents the number of accidents per month observed in the factory plant. - \( p(x) \): Indicates the probability of observing \( x \) number of accidents in a month. The table shows that the probability of having zero accidents in a month is the highest at 0.715. As the number of accidents increases, the probability decreases, with the probability of having five accidents per month being the lowest at 0.002.
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