The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b). Overtime hours 1 2 3 4. 6. Employees 10 29 54 46 26 15 (a) Construct a probability distribution. (b) Graph the probability distribution using a histogram and describe its shape. (a) Construct the probability distribution by completing the table below. 1 3 4 5 P(x) (Round to three decimal places as needed.)
The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b). Overtime hours 1 2 3 4. 6. Employees 10 29 54 46 26 15 (a) Construct a probability distribution. (b) Graph the probability distribution using a histogram and describe its shape. (a) Construct the probability distribution by completing the table below. 1 3 4 5 P(x) (Round to three decimal places as needed.)
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![# Analyzing Overtime Hours
The data below shows the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).
### Overtime Hours Data
- **Overtime Hours:** 0, 1, 2, 3, 4, 5, 6
- **Employees:** 8, 10, 29, 54, 46, 26, 15
### Tasks
#### (a) Construct a Probability Distribution
To create the probability distribution, complete the table below using the provided data. Round to three decimal places as needed.
| x | P(x) |
|---|------|
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
| 6 | |
#### (b) Graph the Probability Distribution
Four graphs (A, B, C, D) are given to represent the probability distribution of the overtime hours. Each graph features:
- **X-axis:** Overtime Hours (0 to 6)
- **Y-axis:** Probability (0 to 0.4)
The task is to:
- **Choose the correct graph:** Select which histogram correctly represents the probability distribution based on the calculated probabilities.
- **Describe the distribution's shape:** Options are provided to describe whether the distribution is approximately symmetric, skewed left, or skewed right.
### Graph Options:
- **Graph A:** Symmetric bell-shaped distribution.
- **Graph B:** Skewed left distribution.
- **Graph C:** Skewed right distribution.
- **Graph D:** Increasing distribution.
### Shape Description
Choose the correct answer for the distribution's shape:
- Approximately symmetric (but not uniform)
- Skewed left
- Skewed right
Select the appropriate descriptions and graphs based on your calculations to accurately analyze this data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39f8ba9b-8fe9-4a22-a6b2-c49df8fae2b8%2F3b6b7025-1f40-4b42-8e5c-d3c610e6b7c2%2Fhijh24m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Analyzing Overtime Hours
The data below shows the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).
### Overtime Hours Data
- **Overtime Hours:** 0, 1, 2, 3, 4, 5, 6
- **Employees:** 8, 10, 29, 54, 46, 26, 15
### Tasks
#### (a) Construct a Probability Distribution
To create the probability distribution, complete the table below using the provided data. Round to three decimal places as needed.
| x | P(x) |
|---|------|
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
| 6 | |
#### (b) Graph the Probability Distribution
Four graphs (A, B, C, D) are given to represent the probability distribution of the overtime hours. Each graph features:
- **X-axis:** Overtime Hours (0 to 6)
- **Y-axis:** Probability (0 to 0.4)
The task is to:
- **Choose the correct graph:** Select which histogram correctly represents the probability distribution based on the calculated probabilities.
- **Describe the distribution's shape:** Options are provided to describe whether the distribution is approximately symmetric, skewed left, or skewed right.
### Graph Options:
- **Graph A:** Symmetric bell-shaped distribution.
- **Graph B:** Skewed left distribution.
- **Graph C:** Skewed right distribution.
- **Graph D:** Increasing distribution.
### Shape Description
Choose the correct answer for the distribution's shape:
- Approximately symmetric (but not uniform)
- Skewed left
- Skewed right
Select the appropriate descriptions and graphs based on your calculations to accurately analyze this data.
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