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A frequency distribution is shown below. Complete pants (a) and (b). The number of televisions per household in a small town Televisions 0 1 2 3 Households 26 440 725 1402 (a) Use the frequency distribution to construct a probability distribution. P(x) X 0 1 2 3 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. OA. AP(x) 0.6- 0.5- 0.4- 0.3- 0.2 0.1- # of Televisions OB. AP(x) *** 0.6 0.5- 0.4- 0.3- 0.2 0.1- # of Televisions ON O C. AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- # of Televisions Q Next C O Oc

A frequency distribution is shown below. Complete pants (a) and (b). The number of televisions per household in a small town Televisions 0 1 2 3 Households 26 440 725 1402 (a) Use the frequency distribution to construct a probability distribution. P(x) X 0 1 2 3 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. OA. AP(x) 0.6- 0.5- 0.4- 0.3- 0.2 0.1- # of Televisions OB. AP(x) *** 0.6 0.5- 0.4- 0.3- 0.2 0.1- # of Televisions ON O C. AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- # of Televisions Q Next C O Oc

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
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**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.
Transcribed Image Text:**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.
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