Homework Help is Here – Start Your Trial Now!
Math
Statistics
**Probability Distribution of Dogs Per Household in a Small Town** The following data represents the probability distribution of the number of dogs per household in a small town: | Dogs | 0 | 1 | 2 | 3 | 4 | 5 | |------|-------|-------|-------|-------|-------|-------| | Probability | 0.667 | 0.204 | 0.084 | 0.025 | 0.014 | 0.006 | **Tasks:** **(a) Find the mean, variance, and standard deviation of the probability distribution.** - **Mean (μ):** Calculate the mean of the probability distribution and round to one decimal place as needed. - **Variance (σ²):** Calculate the variance of the probability distribution and round to one decimal place as needed. - **Standard Deviation (σ):** Calculate the standard deviation of the probability distribution and round to one decimal place as needed. **(b) Interpret the results in the context of the real-life situation.** **Options:** A. A household on average has 0.5 dog with a standard deviation of 11 dogs. B. A household on average has 0.9 dog with a standard deviation of 0.5 dog. C. A household on average has 0.5 dog with a standard deviation of 0.9 dog. D. A household on average has 0.8 dog with a standard deviation of 0.9 dog. *Please perform the calculations based on the given probability distribution to select the correct interpretation.* --- **Additional Information:** The lower portion of the image contains unrelated order and reservation details from a separate context, which are not relevant to the educational content of this exercise.

**Probability Distribution of Dogs Per Household in a Small Town** The following data represents the probability distribution of the number of dogs per household in a small town: | Dogs | 0 | 1 | 2 | 3 | 4 | 5 | |------|-------|-------|-------|-------|-------|-------| | Probability | 0.667 | 0.204 | 0.084 | 0.025 | 0.014 | 0.006 | **Tasks:** **(a) Find the mean, variance, and standard deviation of the probability distribution.** - **Mean (μ):** Calculate the mean of the probability distribution and round to one decimal place as needed. - **Variance (σ²):** Calculate the variance of the probability distribution and round to one decimal place as needed. - **Standard Deviation (σ):** Calculate the standard deviation of the probability distribution and round to one decimal place as needed. **(b) Interpret the results in the context of the real-life situation.** **Options:** A. A household on average has 0.5 dog with a standard deviation of 11 dogs. B. A household on average has 0.9 dog with a standard deviation of 0.5 dog. C. A household on average has 0.5 dog with a standard deviation of 0.9 dog. D. A household on average has 0.8 dog with a standard deviation of 0.9 dog. *Please perform the calculations based on the given probability distribution to select the correct interpretation.* --- **Additional Information:** The lower portion of the image contains unrelated order and reservation details from a separate context, which are not relevant to the educational content of this exercise.

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
See similar textbooks
icon
Related questions
Question
**Probability Distribution of Dogs Per Household in a Small Town** The following data represents the probability distribution of the number of dogs per household in a small town: | Dogs | 0 | 1 | 2 | 3 | 4 | 5 | |------|-------|-------|-------|-------|-------|-------| | Probability | 0.667 | 0.204 | 0.084 | 0.025 | 0.014 | 0.006 | **Tasks:** **(a) Find the mean, variance, and standard deviation of the probability distribution.** - **Mean (μ):** Calculate the mean of the probability distribution and round to one decimal place as needed. - **Variance (σ²):** Calculate the variance of the probability distribution and round to one decimal place as needed. - **Standard Deviation (σ):** Calculate the standard deviation of the probability distribution and round to one decimal place as needed. **(b) Interpret the results in the context of the real-life situation.** **Options:** A. A household on average has 0.5 dog with a standard deviation of 11 dogs. B. A household on average has 0.9 dog with a standard deviation of 0.5 dog. C. A household on average has 0.5 dog with a standard deviation of 0.9 dog. D. A household on average has 0.8 dog with a standard deviation of 0.9 dog. *Please perform the calculations based on the given probability distribution to select the correct interpretation.* --- **Additional Information:** The lower portion of the image contains unrelated order and reservation details from a separate context, which are not relevant to the educational content of this exercise.
Transcribed Image Text:**Probability Distribution of Dogs Per Household in a Small Town** The following data represents the probability distribution of the number of dogs per household in a small town: | Dogs | 0 | 1 | 2 | 3 | 4 | 5 | |------|-------|-------|-------|-------|-------|-------| | Probability | 0.667 | 0.204 | 0.084 | 0.025 | 0.014 | 0.006 | **Tasks:** **(a) Find the mean, variance, and standard deviation of the probability distribution.** - **Mean (μ):** Calculate the mean of the probability distribution and round to one decimal place as needed. - **Variance (σ²):** Calculate the variance of the probability distribution and round to one decimal place as needed. - **Standard Deviation (σ):** Calculate the standard deviation of the probability distribution and round to one decimal place as needed. **(b) Interpret the results in the context of the real-life situation.** **Options:** A. A household on average has 0.5 dog with a standard deviation of 11 dogs. B. A household on average has 0.9 dog with a standard deviation of 0.5 dog. C. A household on average has 0.5 dog with a standard deviation of 0.9 dog. D. A household on average has 0.8 dog with a standard deviation of 0.9 dog. *Please perform the calculations based on the given probability distribution to select the correct interpretation.* --- **Additional Information:** The lower portion of the image contains unrelated order and reservation details from a separate context, which are not relevant to the educational content of this exercise.
Expert Solution
Step 1

Given that 

Probability mass function of X is 

Dogs=X 0 1 2 3 4 5
P(Dogs=X) 0.667 0.204 0.084 0.025 0.014 0.006
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS