Homework Help is Here – Start Your Trial Now!
Math
Statistics
Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. X 0 1 2 3 P(x) 0.359 0.448 0.170 0.023 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the sum of all the probabilities is not equal to 1. D. No, not every probability is between 0 and 1 inclusive. ☐E. No, the random variable x is categorical instead of numerical. n

Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. X 0 1 2 3 P(x) 0.359 0.448 0.170 0.023 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the sum of all the probabilities is not equal to 1. D. No, not every probability is between 0 and 1 inclusive. ☐E. No, the random variable x is categorical instead of numerical. n

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
**Instructions:** 1. Find the mean of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - ○ A. \( \mu = \) [ ] adult(s) (Round to one decimal place as needed.) - ○ B. The table does not show a probability distribution. 2. Find the standard deviation of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - ○ A. \( \sigma = \) [ ] adult(s) (Round to one decimal place as needed.) - ○ B. The table does not show a probability distribution.
Transcribed Image Text:**Instructions:** 1. Find the mean of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - ○ A. \( \mu = \) [ ] adult(s) (Round to one decimal place as needed.) - ○ B. The table does not show a probability distribution. 2. Find the standard deviation of the random variable \( x \). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. - ○ A. \( \sigma = \) [ ] adult(s) (Round to one decimal place as needed.) - ○ B. The table does not show a probability distribution.
**Probability Distribution Example: Self-Driving Vehicle Comfort** Groups of adults are randomly selected and arranged in groups of three. The random variable \( x \) is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. **Table: Probability of Comfort in Self-Driving Vehicles** | \( x \) | \( P(x) \) | |---|---| | 0 | 0.359 | | 1 | 0.448 | | 2 | 0.170 | | 3 | 0.023 | **Question:** Does the table show a probability distribution? Select all that apply. - **A.** Yes, the table shows a probability distribution. - **B.** No, the random variable \( x \)'s number values are not associated with probabilities. - **C.** No, the sum of all the probabilities is not equal to 1. - **D.** No, not every probability is between 0 and 1 inclusive. - **E.** No, the random variable \( x \) is categorical instead of numerical. **Analysis**: - Verify if the given probabilities add up to 1: \( 0.359 + 0.448 + 0.170 + 0.023 = 1.000 \). - Verify that each probability is between 0 and 1. The requirements for a probability distribution are satisfied; therefore, option A is correct.
Transcribed Image Text:**Probability Distribution Example: Self-Driving Vehicle Comfort** Groups of adults are randomly selected and arranged in groups of three. The random variable \( x \) is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. **Table: Probability of Comfort in Self-Driving Vehicles** | \( x \) | \( P(x) \) | |---|---| | 0 | 0.359 | | 1 | 0.448 | | 2 | 0.170 | | 3 | 0.023 | **Question:** Does the table show a probability distribution? Select all that apply. - **A.** Yes, the table shows a probability distribution. - **B.** No, the random variable \( x \)'s number values are not associated with probabilities. - **C.** No, the sum of all the probabilities is not equal to 1. - **D.** No, not every probability is between 0 and 1 inclusive. - **E.** No, the random variable \( x \) is categorical instead of numerical. **Analysis**: - Verify if the given probabilities add up to 1: \( 0.359 + 0.448 + 0.170 + 0.023 = 1.000 \). - Verify that each probability is between 0 and 1. The requirements for a probability distribution are satisfied; therefore, option A is correct.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar 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