**Transcription and Explanation for Educational Website**---The table and exercise shown here are part of a statistics problem focusing on the distribution of televisions in households within a small town. Below is a detailed explanation.---**The Number of Televisions per Household in a Small Town:**| Televisions | Households ||-------------|------------|| 0 | 26 || 1 | 440 || 2 | 725 || 3 | 1402 |---### Task (a)**Construct a Probability Distribution:**To construct the probability distribution, calculate the probability \( P(x) \) for each value \( x \) (number of televisions), based on the frequency of households:1. **Determine Total Households:** Sum up the households: \[ 26 + 440 + 725 + 1402 = 2593 \]2. **Calculate Probability for Each \( x \):** \[ P(0) = \frac{26}{2593} \] \[ P(1) = \frac{440}{2593} \] \[ P(2) = \frac{725}{2593} \] \[ P(3) = \frac{1402}{2593} \]3. **Probability Values Rounded to Three Decimal Places:** - \( P(0) = 0.010 \) - \( P(1) = 0.170 \) - \( P(2) = 0.280 \) - \( P(3) = 0.541 \)---### Task (b)**Graph the Probability Distribution Using a Histogram:**Below are three histogram options labeled A, B, and C. Each shows different distributions. Choose the correct one based on the calculated probabilities.- **Explanation of Histogram Options:** - **Option A:** Bars incorrectly distributed. - **Option B:** Correct distribution (matches calculated probabilities of \( P(x) \)). - **Option C:** Bars incorrectly distributed.**Conclusion:** Option B is the correct histogram that represents the calculated probability distribution of televisions per household.---This concludes the explanation. Practice constructing probability distributions and interpreting graphical representations such as histograms to enhance your statistical analysis skills.

Data given X 0 1 2 3 Frequency 26 440 725 1402

Answered: A frequency distribution is shown…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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