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. P(x) D 0.091 0.328 2 0.418 3 0.163 ..... 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 is categorical instead of numerical. O D. No, not every probability is between 0 and 1 inclusive. O E. No, the random variable x's number values are not associated with probabilities.
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. P(x) D 0.091 0.328 2 0.418 3 0.163 ..... 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 is categorical instead of numerical. O D. No, not every probability is between 0 and 1 inclusive. O E. No, the random variable x's number values are not associated with probabilities.
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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![**Transcription for Educational Website**
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.
**Probability Table:**
| x | P(x) |
|---|-------|
| 0 | 0.091 |
| 1 | 0.328 |
| 2 | 0.418 |
| 3 | 0.163 |
**Question:**
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 is categorical instead of numerical.
- [ ] D. No, not every probability is between 0 and 1 inclusive.
- [ ] E. No, the random variable x's number values are not associated with probabilities.
**Graph or Diagram Explanation:**
There is a table that lists the probability distribution for the random variable x, representing the number of people in a group of three who say that flirting in person is the most fun. The table includes the possible values of x (0, 1, 2, 3) and their corresponding probabilities (P(x)). The probabilities are listed in a column adjacent to the possible outcomes of x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22c22731-3858-419d-b4a1-f1d81ff5f2b6%2Fcbbc945e-f556-43ef-bfde-a7d9db566d21%2Fjndb8317_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
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.
**Probability Table:**
| x | P(x) |
|---|-------|
| 0 | 0.091 |
| 1 | 0.328 |
| 2 | 0.418 |
| 3 | 0.163 |
**Question:**
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 is categorical instead of numerical.
- [ ] D. No, not every probability is between 0 and 1 inclusive.
- [ ] E. No, the random variable x's number values are not associated with probabilities.
**Graph or Diagram Explanation:**
There is a table that lists the probability distribution for the random variable x, representing the number of people in a group of three who say that flirting in person is the most fun. The table includes the possible values of x (0, 1, 2, 3) and their corresponding probabilities (P(x)). The probabilities are listed in a column adjacent to the possible outcomes of x.
![**Finding the Mean of a Random Variable**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice:
- **A.** \( \mu = \) [Text Box] adult(s) (Round to one decimal place as needed.)
- **B.** The table does not show a probability distribution.
**Finding the Standard Deviation of a Random Variable**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice:
- **A.** \( \sigma = \) [Text Box] adult(s) (Round to one decimal place as needed.)
- **B.** The table does not show a probability distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22c22731-3858-419d-b4a1-f1d81ff5f2b6%2Fcbbc945e-f556-43ef-bfde-a7d9db566d21%2Fchxzsct_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Finding the Mean of a Random Variable**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice:
- **A.** \( \mu = \) [Text Box] adult(s) (Round to one decimal place as needed.)
- **B.** The table does not show a probability distribution.
**Finding the Standard Deviation of a Random Variable**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice:
- **A.** \( \sigma = \) [Text Box] adult(s) (Round to one decimal place as needed.)
- **B.** The table does not show a probability distribution.
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