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. P(x) D 0.026 0.163 0.311 3 0.311 0.163 0.026 Does the table show a probability distribution? Select all that apply. O 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, the random variable x's number values are not associated with probabilities. 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. O A. child(ren) (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. O= child(ren) (Round to one decimal place as needed.) B. The table does not show a probability distribution.
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. P(x) D 0.026 0.163 0.311 3 0.311 0.163 0.026 Does the table show a probability distribution? Select all that apply. O 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, the random variable x's number values are not associated with probabilities. 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. O A. child(ren) (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. O= child(ren) (Round to one decimal place as needed.) B. The table does not show a probability distribution.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![**Probability Distribution for X-linked Genetic Disorder Inheritance**
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 disorder. Determine if a probability distribution is given, and if so, find its mean and standard deviation. If a probability distribution is not provided, identify the unmet requirements.
**Table of Probabilities:**
| x | P(x) |
|---|-------|
| 0 | 0.026 |
| 1 | 0.163 |
| 2 | 0.311 |
| 3 | 0.311 |
| 4 | 0.163 |
| 5 | 0.026 |
**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, the random variable \( x \)'s number values are not associated with probabilities.
- [ ] **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:**
- [ ] **A.** \( \mu = \) \_\_\_ child(ren) (Round to one decimal place as needed.)
- [ ] **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:**
- [ ] **A.** \( \sigma = \) \_\_\_ child(ren) (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%2F2734b2e5-bfdc-4698-b164-7fb7c5253f73%2Fe14a82e6-0e3e-4ae3-aeb0-965f7e239598%2F6qpbcwln_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution for X-linked Genetic Disorder Inheritance**
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 disorder. Determine if a probability distribution is given, and if so, find its mean and standard deviation. If a probability distribution is not provided, identify the unmet requirements.
**Table of Probabilities:**
| x | P(x) |
|---|-------|
| 0 | 0.026 |
| 1 | 0.163 |
| 2 | 0.311 |
| 3 | 0.311 |
| 4 | 0.163 |
| 5 | 0.026 |
**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, the random variable \( x \)'s number values are not associated with probabilities.
- [ ] **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:**
- [ ] **A.** \( \mu = \) \_\_\_ child(ren) (Round to one decimal place as needed.)
- [ ] **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:**
- [ ] **A.** \( \sigma = \) \_\_\_ child(ren) (Round to one decimal place as needed.)
- [ ] **B.** The table does not show a probability distribution.
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