Please help answer both parts from my homework question ### Frequency Distribution and Histogram AnalysisThis educational page examines the number of televisions per household in a small town, provided as a frequency distribution.#### Frequency Distribution Table| Televisions | Households ||-------------|------------|| 0 | 25 || 1 | 444 || 2 | 723 || 3 | 1401 |Three histogram options are displayed to represent this distribution. Each histogram visualizes the probability $ P(x) $ against the number of televisions per household.#### Histogram Options- **Histogram A**: - Represents an increasing trend, starting lower at 0 televisions and peaking at 3 televisions. - Bars increase in height consistently as the number of televisions rises.- **Histogram B**: - Depicts an increase peaking at 2 televisions and slightly decreasing at 3 televisions. - Suggests a more common occurrence at 2 televisions.- **Histogram C**: - Displays a peak at 1 television and a gradual decrease as the number increases. - Shows a negatively skewed distribution opposite to the frequency distribution provided.#### Analysis TaskYour task is to describe the shape of the correct histogram that most accurately reflects the given frequency distribution and select the correct option. Consider the relative frequencies reflected in the table to determine the most appropriate visual representation.Click to select your answer(s). A frequency distribution is shown below. Complete parts (a) and (b).**The number of televisions per household in a small town**| Televisions | 0 | 1 | 2 | 3 ||-------------|----|----|----|----|| Households | 25 | 444| 723| 1401|(a) Use the frequency distribution to construct a probability distribution.| x | P(x) ||---|------|| 0 | || 1 | || 2 | || 3 | |(Round to three decimal places as needed.)---**Explanation:**To construct the probability distribution:1. **Total Number of Households**: Calculate the total number of households by summing the frequencies: $25 + 444 + 723 + 1401 = 2593$.2. **Probability Calculation**: - For $x = 0$: $P(0) = \frac{25}{2593}$ - For $x = 1$: $P(1) = \frac{444}{2593}$ - For $x = 2$: $P(2) = \frac{723}{2593}$ - For $x = 3$: $P(3) = \frac{1401}{2593}$3. **Round** each probability to three decimal places. This process converts the frequency distribution into a probability distribution, allowing for an understanding of the likelihood of each scenario occurring.

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Description: Please help answer both parts from my homework question ### Frequency Distribution and Histogram AnalysisThis educational page examines the number of televisions per household in a small town, provided as a frequency distribution.#### Frequency Distr

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Please help answer both parts from my homework question

### Frequency Distribution and Histogram Analysis

This educational page examines the number of televisions per household in a small town, provided as a frequency distribution.

#### Frequency Distribution Table

| Televisions | Households |
|-------------|------------|
| 0 | 25 |
| 1 | 444 |
| 2 | 723 |
| 3 | 1401 |

Three histogram options are displayed to represent this distribution. Each histogram visualizes the probability $ P(x) $ against the number of televisions per household.

#### Histogram Options

- **Histogram A**:
- Represents an increasing trend, starting lower at 0 televisions and peaking at 3 televisions.
- Bars increase in height consistently as the number of televisions rises.

- **Histogram B**:
- Depicts an increase peaking at 2 televisions and slightly decreasing at 3 televisions.
- Suggests a more common occurrence at 2 televisions.

- **Histogram C**:
- Displays a peak at 1 television and a gradual decrease as the number increases.
- Shows a negatively skewed distribution opposite to the frequency distribution provided.

#### Analysis Task

Your task is to describe the shape of the correct histogram that most accurately reflects the given frequency distribution and select the correct option. Consider the relative frequencies reflected in the table to determine the most appropriate visual representation.

Click to select your answer(s).

A frequency distribution is shown below. Complete parts (a) and (b).

**The number of televisions per household in a small town**

| Televisions | 0 | 1 | 2 | 3 |
|-------------|----|----|----|----|
| Households | 25 | 444| 723| 1401|

(a) Use the frequency distribution to construct a probability distribution.

| x | P(x) |
|---|------|
| 0 | |
| 1 | |
| 2 | |
| 3 | |

(Round to three decimal places as needed.)

---

**Explanation:**

To construct the probability distribution:

1. **Total Number of Households**: Calculate the total number of households by summing the frequencies: $25 + 444 + 723 + 1401 = 2593$.

2. **Probability Calculation**:
- For $x = 0$: $P(0) = \frac{25}{2593}$
- For $x = 1$: $P(1) = \frac{444}{2593}$
- For $x = 2$: $P(2) = \frac{723}{2593}$
- For $x = 3$: $P(3) = \frac{1401}{2593}$

3. **Round** each probability to three decimal places.

This process converts the frequency distribution into a probability distribution, allowing for an understanding of the likelihood of each scenario occurring.

Expert Solution

Given:

a) Probability distribution:

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