### Frequency and Probability Distributions#### A. Frequency DistributionA 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 | 24 | 443 | 722 | 1402 |#### (a) Probability DistributionUsing the frequency distribution to construct a probability distribution:1. Calculate the total number of households. - Total = 24 + 443 + 722 + 1402 = 25912. Compute the probability for each number of televisions (x): - P(0) = 24 / 2591 ≈ 0.009 - P(1) = 443 / 2591 ≈ 0.171 - P(2) = 722 / 2591 ≈ 0.279 - P(3) = 1402 / 2591 ≈ 0.5413. The probability distribution is as follows: - x: 0 | P(x): 0.009 - x: 1 | P(x): 0.171 - x: 2 | P(x): 0.279 - x: 3 | P(x): 0.541**(Round to three decimal places as needed.)**#### (b) HistogramGraph the probability distribution using a histogram. Choose the correct graph of the distribution below:- **Option A:** - Bars are at 0, 1, 2, and 3. - The heights are approximately 0.009, 0.171, 0.279, and 0.541 respectively.- **Option B:** - Bars are at 0, 1, 2, and 3. - The heights are different and don't match the calculated probabilities.- **Option C:** - Bars are at 0, 1, 2, and 3. - The heights decrease from 0 to 3, not matching the increasing values calculated.**Correct Answer: Option A**#### Histogram ShapeDescribe the histogram's shape. Choose the correct answer below:- **Skewed

The given data represents the frequency distribution of number of televisions per household in a…

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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Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town 1 2 P(x) 0.02 0.13 0.26 0.59 (a) Find the probability of randomly selecting a household that has one or two televisions. The probability is (Type an integer or a decimal. Do not round.) (b) Find the probability of randomly selecting a household that has two or more televisions. The probability is (Type an integer or a decimal. Do not round.) (c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive. The probability is (Type an integer or a decimal. Do not round.) (d) Find the probability of randomly selecting a household that has at most two televisions. The probability is (Type an integer or a decimal. Do not round.)
Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town 1 P(x) 0.02 0.18 0.28 0.52 (a) Find the probability of randomly selecting a household that has one or two televisions. The probability is 0.46. (Type an integer or a decimal. Do not round.) (b) Find the probability of randomly selecting a household that has two or more televisions. The probability is. (Type an integer or a decimal. Do not round.) In
Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town X 1 3 P(x) 0.11 0.59 0 0.02 2 0.28 (a) Find the probability of randomly selecting a household that has one or two televisions. The probability is. (Type an integer or a decimal. Do not round.) (b) Find the probability of randomly selecting a household that has two or more televisions. The probability is (Type an integer or a decimal. Do not round.) (c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive. The probability is (Type an integer or a decimal. Do not round.) (d) Find the probability of randomly selecting a household that has at most two televisions. The probability is (Type an integer or a decimal. Do not round.)
Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town 1 2 P(x) 0.03 0.13 0.25 0.59 (a) Find the probability of randomly selecting a household that has one or two televisions. The probability is (Type an integer or a decimal. Do not round.)
K Let X denote the outcome of rolling a die. a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the sample mean for n = 2. (You can think of (i) as the population distribution you would get if you could roll the die an infinite number of times.) b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30. What is the effect of n on the sampling distribution? T OA. 0.1 3.50 6.9 Outcome 0.3 0.25- 0.2 0.15 (ii) Which graph shows the sampling distribution of the sample mean for n = 2? 0.1- 0.05- 0² 123456 Outcome Get more help. Y átv 01 0!!!!! 1 2 3 4 5 6 Outcome B. & 0.22 0.15 0.1- 0.05 0- MacBook Air + 1 2 3 4 5 6 Outcome b. (i) For n=2, the mean is and the standard deviation is. (Round to two decimal places as needed.) U A4 F7 01 0++++++ 1 2 3 4 5 6 Outcome O C. 8 0.23 0.15- 0.1 0.05- 03 1 2 3 4 5 6 Outcome Clear…
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 1 2 Households 23 441 730 1405 (a) Use the frequency distribution to construct a probability distribution. P(x) 1 (Round to three decimal places as needed.)
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 2 3 Households 26 447 722 1404 (a) Use the frequency distribution to construct a probability distribution. P(x) X 1 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. O A. OB. OC. nel AP(x) Click to select your answer(s). 99+ P Type here to search op 144 fs f4
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This question: 5 point(s) possible A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 3 Households 30 449 726 1401 ... (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. O A. OB. Oc. AP(x) 0.6 0.5 0.4- 0.3- 0.2- AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 0.1- 1 2 #of Televisions 1 2 # of Televisions of Televisions Describe the histogram's shape. Choose the correct answer below. O symmetric skewed right O Time F MacBook Air
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 1 2 3 Households 22 446 722 1409 (a) Use the frequency distribution to construct a probability distribution. P(x) 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. O A. OB. OC. AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 0.1- 0.1- ở 1 2 3 x 1 # of Televisions 6 i 2 3 x # of Televisions # of Televisions Describe the histogram's shape. Choose the correct answer below. skewed right symmetric skewed left
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 1 Households 30 445 724 1405 (a) Use the frequency distribution to construct a probability distribution. P(x) 1 2 3 (Round to three decimal places as needed.) In
Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town X 0 1 3 P(x) 0.05 0.16 0.48 2 0.31 (a) Find the probability of randomly selecting a household that has one or two televisions. The probability is. (Type an integer or a decimal. Do not round.) (b) Find the probability of randomly selecting a household that has two or more televisions. The probability is. (Type an integer or a decimal. Do not round.) (c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive. The probability is. (Type an integer or a decimal. Do not round.) (d) Find the probability of randomly selecting a household that has at most two televisions. The probability is

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