Homework Help is Here – Start Your Trial Now!
Math
Statistics
### 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Describe the histogram shape as well ? Symmetric , skewed left or skewed right 

### 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:### 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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS