### Distribution of Televisions Per Household in a Small Town #### Data Table: - **Televisions**: - 0 - 1 - 2 - 3 - **Households**: - 27 - 446 - 722 - 1406 --- #### Graphs Explaining the Distribution 1. **Graph A** - **Type**: Histogram - **X-axis**: Number of Televisions (0 to 3) - **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7 - **Description**: The histogram shows probabilities for each number of televisions. The tallest bar is at 3 televisions, indicating this is the most common scenario. 2. **Graph B** - **Type**: Histogram - **X-axis**: Number of Televisions (0 to 3) - **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7 - **Description**: This graph displays a left-skewed distribution, with highest probability at 0 televisions. The probability decreases as the number of televisions increases. 3. **Graph C** - **Type**: Histogram - **X-axis**: Number of Televisions (0 to 3) - **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7 - **Description**: Right-skewed distribution with the highest bar at 3 televisions, suggesting households are more likely to have a higher number of televisions. Each graph represents different potential probability distributions of televisions per household within the surveyed town. **Transcription for Educational Website** **A frequency distribution is shown below. Complete parts (a) and (b).** **The number of televisions per household in a small town** | Televisions | Households | |-------------|------------| | 0 | 27 | | 1 | 446 | | 2 | 722 | | 3 | 1406 | **(a) Use the frequency distribution to construct a probability distribution.** | x | P(x) | |---|------| | 0 | | | 1 | | | 2 | | | 3 | | *(Round to three decimal places as needed.)* **Instruction for further steps:** After calculating the probability for each number of televisions using the formula \( P(x) = \frac{\text{Frequency of } x}{\text{Total number of households}} \), students should enter the computed probabilities in the table corresponding to each value of \( x \). **Note regarding graphing:** The next step involves creating a histogram based on the calculated probability distribution. It will visually represent the distribution of televisions per household in the town, based on the given data.
### Distribution of Televisions Per Household in a Small Town #### Data Table: - **Televisions**: - 0 - 1 - 2 - 3 - **Households**: - 27 - 446 - 722 - 1406 --- #### Graphs Explaining the Distribution 1. **Graph A** - **Type**: Histogram - **X-axis**: Number of Televisions (0 to 3) - **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7 - **Description**: The histogram shows probabilities for each number of televisions. The tallest bar is at 3 televisions, indicating this is the most common scenario. 2. **Graph B** - **Type**: Histogram - **X-axis**: Number of Televisions (0 to 3) - **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7 - **Description**: This graph displays a left-skewed distribution, with highest probability at 0 televisions. The probability decreases as the number of televisions increases. 3. **Graph C** - **Type**: Histogram - **X-axis**: Number of Televisions (0 to 3) - **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7 - **Description**: Right-skewed distribution with the highest bar at 3 televisions, suggesting households are more likely to have a higher number of televisions. Each graph represents different potential probability distributions of televisions per household within the surveyed town. **Transcription for Educational Website** **A frequency distribution is shown below. Complete parts (a) and (b).** **The number of televisions per household in a small town** | Televisions | Households | |-------------|------------| | 0 | 27 | | 1 | 446 | | 2 | 722 | | 3 | 1406 | **(a) Use the frequency distribution to construct a probability distribution.** | x | P(x) | |---|------| | 0 | | | 1 | | | 2 | | | 3 | | *(Round to three decimal places as needed.)* **Instruction for further steps:** After calculating the probability for each number of televisions using the formula \( P(x) = \frac{\text{Frequency of } x}{\text{Total number of households}} \), students should enter the computed probabilities in the table corresponding to each value of \( x \). **Note regarding graphing:** The next step involves creating a histogram based on the calculated probability distribution. It will visually represent the distribution of televisions per household in the town, based on the given data.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Describe the histogram shape as well ? Symmetric , skewed left or skewed right

Transcribed Image Text:### Distribution of Televisions Per Household in a Small Town
#### Data Table:
- **Televisions**:
- 0
- 1
- 2
- 3
- **Households**:
- 27
- 446
- 722
- 1406
---
#### Graphs Explaining the Distribution
1. **Graph A**
- **Type**: Histogram
- **X-axis**: Number of Televisions (0 to 3)
- **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7
- **Description**: The histogram shows probabilities for each number of televisions. The tallest bar is at 3 televisions, indicating this is the most common scenario.
2. **Graph B**
- **Type**: Histogram
- **X-axis**: Number of Televisions (0 to 3)
- **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7
- **Description**: This graph displays a left-skewed distribution, with highest probability at 0 televisions. The probability decreases as the number of televisions increases.
3. **Graph C**
- **Type**: Histogram
- **X-axis**: Number of Televisions (0 to 3)
- **Y-axis**: Probability \( P(x) \) ranging from 0 to 0.7
- **Description**: Right-skewed distribution with the highest bar at 3 televisions, suggesting households are more likely to have a higher number of televisions.
Each graph represents different potential probability distributions of televisions per household within the surveyed town.

Transcribed Image Text:**Transcription for Educational Website**
**A frequency distribution is shown below. Complete parts (a) and (b).**
**The number of televisions per household in a small town**
| Televisions | Households |
|-------------|------------|
| 0 | 27 |
| 1 | 446 |
| 2 | 722 |
| 3 | 1406 |
**(a) Use the frequency distribution to construct a probability distribution.**
| x | P(x) |
|---|------|
| 0 | |
| 1 | |
| 2 | |
| 3 | |
*(Round to three decimal places as needed.)*
**Instruction for further steps:**
After calculating the probability for each number of televisions using the formula \( P(x) = \frac{\text{Frequency of } x}{\text{Total number of households}} \), students should enter the computed probabilities in the table corresponding to each value of \( x \).
**Note regarding graphing:**
The next step involves creating a histogram based on the calculated probability distribution. It will visually represent the distribution of televisions per household in the town, based on the given data.
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