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) 0.088 1 0.335 0.423 3 0.154 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, not every probability is between 0 and 1 inclusive. D. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x is categorical instead of numerical. 0O000

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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      | 0.088      |
| 1      | 0.335      |
| 2      | 0.423      |
| 3      | 0.154      |

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, not every probability is between 0 and 1 inclusive.
- [ ] D. No, the sum of all the probabilities is not equal to 1.
- [ ] E. No, the random variable \( x \) is categorical instead of numerical.
Transcribed Image Text: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 | 0.088 | | 1 | 0.335 | | 2 | 0.423 | | 3 | 0.154 | 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, not every probability is between 0 and 1 inclusive. - [ ] D. No, the sum of all the probabilities is not equal to 1. - [ ] E. No, the random variable \( x \) is categorical instead of numerical.
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