Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. 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. O A. A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, the random variable x's number values are not associated with probabilities. D. No, the sum of all the probabilities is not equal to 1. E. 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. μ= child(ren) (Round to one decimal place as needed.) X P(x) 0 0.027 1 0.156 2 0.317 3 0.317 0.156 4 5 0.027 OA. O= B. The table does not show a probability distribution. D OB. 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. child(ren) (Round to one decimal place as needed.)
Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. 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. O A. A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, the random variable x's number values are not associated with probabilities. D. No, the sum of all the probabilities is not equal to 1. E. 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. μ= child(ren) (Round to one decimal place as needed.) X P(x) 0 0.027 1 0.156 2 0.317 3 0.317 0.156 4 5 0.027 OA. O= B. The table does not show a probability distribution. D OB. 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. child(ren) (Round to one decimal place as needed.)
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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3.c
![### Probability Distribution Analysis
#### Problem Statement
Five males with an X-linked genetic disorder have one child each. The random variable \( x \) represents the number of children among the five who inherit the X-linked genetic disorder. The task is to determine whether the given table represents a probability distribution. If it is a probability distribution, calculate its mean and standard deviation. If it isn't, identify the unmet requirements.
---
#### Table of Values
| \( x \) | \( P(x) \) |
|---------|-------------|
| 0 | 0.027 |
| 1 | 0.156 |
| 2 | 0.317 |
| 3 | 0.317 |
| 4 | 0.156 |
| 5 | 0.027 |
---
#### Analysis Questions
1. **Does the table show a probability distribution? Select all that apply.**
- [ ] A. Yes, the table shows a probability distribution.
- [ ] B. No, the random variable \( x \) is categorical instead of numerical.
- [ ] C. No, the random variable \( x \)'s number values are not associated with probabilities.
- [ ] D. No, the sum of all the probabilities is not equal to 1.
- [ ] 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. \( \mu = \) ____ child(ren) (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. \( \sigma = \) ____ child(ren) (Round to one decimal place as needed.)
- [ ] B. The table does not show a probability distribution.
---
#### Graphical Explanation
This problem does not include graphs or diagrams. It involves evaluating the provided table to determine if it meets the criteria for a probability distribution, and subsequently calculating the mean and standard deviation.
#### Notes for Understanding
- A probability distribution](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b463452-b960-4b00-bce0-3a69d9f467e2%2F96afe2f9-08e9-4f76-be8e-2e86fbbec47c%2Fy4f0hkg_processed.png&w=3840&q=75)
Transcribed Image Text:### Probability Distribution Analysis
#### Problem Statement
Five males with an X-linked genetic disorder have one child each. The random variable \( x \) represents the number of children among the five who inherit the X-linked genetic disorder. The task is to determine whether the given table represents a probability distribution. If it is a probability distribution, calculate its mean and standard deviation. If it isn't, identify the unmet requirements.
---
#### Table of Values
| \( x \) | \( P(x) \) |
|---------|-------------|
| 0 | 0.027 |
| 1 | 0.156 |
| 2 | 0.317 |
| 3 | 0.317 |
| 4 | 0.156 |
| 5 | 0.027 |
---
#### Analysis Questions
1. **Does the table show a probability distribution? Select all that apply.**
- [ ] A. Yes, the table shows a probability distribution.
- [ ] B. No, the random variable \( x \) is categorical instead of numerical.
- [ ] C. No, the random variable \( x \)'s number values are not associated with probabilities.
- [ ] D. No, the sum of all the probabilities is not equal to 1.
- [ ] 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. \( \mu = \) ____ child(ren) (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. \( \sigma = \) ____ child(ren) (Round to one decimal place as needed.)
- [ ] B. The table does not show a probability distribution.
---
#### Graphical Explanation
This problem does not include graphs or diagrams. It involves evaluating the provided table to determine if it meets the criteria for a probability distribution, and subsequently calculating the mean and standard deviation.
#### Notes for Understanding
- A probability distribution
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