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. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the random variable x is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x's number values are not associated with probabilities. O A. X 0 1 2 3 adult(s) (Round to one decimal place as needed.) P(x) 0.357 0.431 0.190 0.022 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. μ= OB. The table does not show a probability distribution. 0
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. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the random variable x is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x's number values are not associated with probabilities. O A. X 0 1 2 3 adult(s) (Round to one decimal place as needed.) P(x) 0.357 0.431 0.190 0.022 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. μ= OB. The table does not show a probability distribution. 0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Probability Distribution Analysis**
Groups of adults are randomly selected and arranged in groups of three. The random variable \( x \) is the number in the group who say 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.
**Probability Distribution Table:**
| \( x \) | \( P(x) \) |
|---------|------------|
| 0 | 0.357 |
| 1 | 0.431 |
| 2 | 0.190 |
| 3 | 0.022 |
**Does the table show a probability distribution?** Select all that apply.
- [X] A. Yes, the table shows a probability distribution.
- [ ] B. No, not every probability is between 0 and 1 inclusive.
- [ ] C. No, the random variable \( x \) is categorical instead of numerical.
- [ ] D. No, the sum of all the probabilities is not equal to 1.
- [ ] E. No, the random variable \( x \)'s number values are not associated with probabilities.
**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.
**Explanation for Graph/Diagram:**
The table represents a discrete probability distribution where the random variable \( x \) can take values from 0 to 3, representing the number of adults comfortable with self-driving vehicles in a group of three. Each \( P(x) \) represents the probability of \( x \) adults feeling comfortable. The table confirms a valid probability distribution since all probabilities are between 0 and 1, and the sum of the probabilities equals 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c582252-6541-4096-9706-b4f3b52fcf1c%2F402e23fa-b0e5-49a2-ae3a-3ef90eac15b6%2Fsrsa30g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Analysis**
Groups of adults are randomly selected and arranged in groups of three. The random variable \( x \) is the number in the group who say 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.
**Probability Distribution Table:**
| \( x \) | \( P(x) \) |
|---------|------------|
| 0 | 0.357 |
| 1 | 0.431 |
| 2 | 0.190 |
| 3 | 0.022 |
**Does the table show a probability distribution?** Select all that apply.
- [X] A. Yes, the table shows a probability distribution.
- [ ] B. No, not every probability is between 0 and 1 inclusive.
- [ ] C. No, the random variable \( x \) is categorical instead of numerical.
- [ ] D. No, the sum of all the probabilities is not equal to 1.
- [ ] E. No, the random variable \( x \)'s number values are not associated with probabilities.
**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.
**Explanation for Graph/Diagram:**
The table represents a discrete probability distribution where the random variable \( x \) can take values from 0 to 3, representing the number of adults comfortable with self-driving vehicles in a group of three. Each \( P(x) \) represents the probability of \( x \) adults feeling comfortable. The table confirms a valid probability distribution since all probabilities are between 0 and 1, and the sum of the probabilities equals 1.
Expert Solution
Step 1
The given table is
| x | P(x) |
| 0 | 0.357 |
| 1 | 0.431 |
| 2 | 0.190 |
| 3 | 0.022 |
We have to find if the above table represents a probability distribution.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman