
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![### Problem Statement
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 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.
### Table
| \( x \) | \( P(x) \) |
|---------|------------|
| 0 | 0.025 |
| 1 | 0.155 |
| 2 | 0.320 |
| 3 | 0.320 |
| 4 | 0.155 |
| 5 | 0.025 |
### Questions
Does the table show a probability distribution? Select all that apply.
- [x] A. Yes, the table shows a probability distribution.
- [ ] B. No, the random variable \( x \) is categorical instead of numerical.
- [ ] 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 \( x \)'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.
- \( \bigcirc \) A. \( \mu = \) ___ child(ren) (Round to one decimal place as needed.)
- \( \bigcirc \) B. The table does not show a probability distribution.
*Click to select and enter your answer(s) and then click Check Answer.*](https://content.bartleby.com/qna-images/question/2734b2e5-bfdc-4698-b164-7fb7c5253f73/df519921-f2fb-4dad-b22b-cc0fc66dab14/umi4o3z_thumbnail.jpeg)
Transcribed Image Text:### Problem Statement
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 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.
### Table
| \( x \) | \( P(x) \) |
|---------|------------|
| 0 | 0.025 |
| 1 | 0.155 |
| 2 | 0.320 |
| 3 | 0.320 |
| 4 | 0.155 |
| 5 | 0.025 |
### Questions
Does the table show a probability distribution? Select all that apply.
- [x] A. Yes, the table shows a probability distribution.
- [ ] B. No, the random variable \( x \) is categorical instead of numerical.
- [ ] 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 \( x \)'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.
- \( \bigcirc \) A. \( \mu = \) ___ child(ren) (Round to one decimal place as needed.)
- \( \bigcirc \) B. The table does not show a probability distribution.
*Click to select and enter your answer(s) and then click Check Answer.*
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