and the random variable x is the number in the group Who say that the 0.093 most fun way to flirt is in person. 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. 1 0.337 2 0.412 3 0.158 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the sum of all the probabilities is not equal to 1. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the random variable x is categorical instead of numerical. OE. No, not every probability is between 0 and 1 inclusive. 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. O A. H= adult(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution. 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. O A. g= adult(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution.
and the random variable x is the number in the group Who say that the 0.093 most fun way to flirt is in person. 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. 1 0.337 2 0.412 3 0.158 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the sum of all the probabilities is not equal to 1. O C. No, the random variable x's number values are not associated with probabilities. O D. No, the random variable x is categorical instead of numerical. OE. No, not every probability is between 0 and 1 inclusive. 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. O A. H= adult(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution. 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. O A. g= adult(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution.
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 Exercise**
A sociologist randomly selects single adults for different groups of three, and the random variable \( x \) is the number in the group who say that the most fun way to flirt is in person. 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.
| \( x \) | \( P(x) \) |
|--------|----------|
| 0 | 0.093 |
| 1 | 0.337 |
| 2 | 0.412 |
| 3 | 0.158 |
**Questions:**
1. Does the table show a probability distribution? Select all that apply:
- [ ] A. Yes, the table shows a probability distribution.
- [ ] B. No, the sum of all the probabilities is not equal to 1.
- [ ] C. No, the random variable x's number values are not associated with probabilities.
- [ ] D. No, the random variable x is categorical instead of numerical.
- [ ] E. No, not every probability is between 0 and 1 inclusive.
2. 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.
3. 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.
**Instructions:**
- Evaluate whether the probability values \( P(x) \) add up to 1.
- Confirm that each \( P(x) \) is between 0 and 1.
- Determine the numerical nature of random variable \( x \).
- Calculate mean \(\mu\) and standard deviation \(\sigma\) if the table represents a valid probability distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa09d3e44-d2fc-4415-aa7e-712e235d6e26%2F882e755e-db44-4414-891d-f853c7464eaa%2F65r08wl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Exercise**
A sociologist randomly selects single adults for different groups of three, and the random variable \( x \) is the number in the group who say that the most fun way to flirt is in person. 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.
| \( x \) | \( P(x) \) |
|--------|----------|
| 0 | 0.093 |
| 1 | 0.337 |
| 2 | 0.412 |
| 3 | 0.158 |
**Questions:**
1. Does the table show a probability distribution? Select all that apply:
- [ ] A. Yes, the table shows a probability distribution.
- [ ] B. No, the sum of all the probabilities is not equal to 1.
- [ ] C. No, the random variable x's number values are not associated with probabilities.
- [ ] D. No, the random variable x is categorical instead of numerical.
- [ ] E. No, not every probability is between 0 and 1 inclusive.
2. 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.
3. 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.
**Instructions:**
- Evaluate whether the probability values \( P(x) \) add up to 1.
- Confirm that each \( P(x) \) is between 0 and 1.
- Determine the numerical nature of random variable \( x \).
- Calculate mean \(\mu\) and standard deviation \(\sigma\) if the table represents a valid probability distribution.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
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