**Frequency Distribution and Probability**A frequency distribution is shown below. Complete parts (a) and (b). **The number of televisions per household in a small town**| Televisions | Households ||-------------|------------|| 0 | 29 || 1 | 445 || 2 | 730 || 3 | 1405 |### (a) Use the frequency distribution to construct a probability distribution.To construct the probability distribution, divide the number of households for each category by the total number of households. Let’s calculate the probabilities for each category:- Total households = 29 + 445 + 730 + 1405 = 2609| x (Televisions) | P(x) (Probability) ||-----------------|-------------------|| 0 | 29/2609 ≈ 0.011 || 1 | 445/2609 ≈ 0.171 || 2 | 730/2609 ≈ 0.280 || 3 | 1405/2609 ≈ 0.539 |### (b) Graph the probability distribution using a histogram.When graphing the probability distribution, we use a histogram where the x-axis represents the number of televisions, and the y-axis represents the probability P(x).**Graph Options:**- **Option A:** This histogram represents an increasing trend but doesn’t match the computed probabilities.- **Option B:** This histogram starts low and increases in probability, matching the expected distribution based on calculations.- **Option C:** This histogram shows a decreasing trend, opposite to our data.**Correct Graph:** Option B is correct, as it accurately represents the increasing numbers (0.011, 0.171, 0.280, 0.539) matching the computed probability distribution.

Answered: Image /qna-images/answer/17b0c64e-c573-4dc3-a859-7fb53e2b18c2.jpg

A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 1 3 Households 29 445 730 1405 (a) Use the frequency distribution to construct a probability distribution. P(x) 1 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. OB. Oc. AP(x) 0.6- 0.5- 0.4- 0.3- AP(x) 0.6- 0.5- 0.4- AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.2- 0.1- 0.1-

A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 1 3 Households 29 445 730 1405 (a) Use the frequency distribution to construct a probability distribution. P(x) 1 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. OB. Oc. AP(x) 0.6- 0.5- 0.4- 0.3- AP(x) 0.6- 0.5- 0.4- AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.2- 0.1- 0.1-

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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