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 P(x) 0.034 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. 1 0.151 2 0.315 0.315 0.151 0.034 3 4 5 ..... Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. O 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. O E. No. the sum of all the probabilities is not equal to 1.
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 P(x) 0.034 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. 1 0.151 2 0.315 0.315 0.151 0.034 3 4 5 ..... Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. O 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. O E. No. the sum of all the probabilities is not equal to 1.
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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Please help me find and understand the answers for the 3 parts of the exercise. Thanks in advance.
![**Probability Distribution Analysis**
**Scenario:**
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. If so, find its mean and standard deviation. If not, identify any unsatisfied requirements.
**Table:**
\[
\begin{array}{c|c}
x & P(x) \\
\hline
0 & 0.034 \\
1 & 0.151 \\
2 & 0.315 \\
3 & 0.315 \\
4 & 0.151 \\
5 & 0.034 \\
\end{array}
\]
**Question:**
Does the table show a probability distribution? Select all that apply.
- **A.** Yes, the table shows a probability distribution.
- **B.** No, not every probability is between 0 and 1 inclusive.
- **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, the sum of all the probabilities is not equal to 1.
**Analysis:**
To determine if this is a probability distribution, ensure the following:
1. All probabilities \( P(x) \) must be between 0 and 1 inclusive.
2. The sum of \( P(x) \) values must equal 1.
3. The values of \( x \) must be numerical.
Upon inspection:
- All given \( P(x) \) values (0.034, 0.151, 0.315, 0.151, 0.034) are between 0 and 1.
- The sum of \( P(x) \) values equals 1 (0.034 + 0.151 + 0.315 + 0.315 + 0.151 + 0.034 = 1).
- The variable \( x \) is numerical (0 to 5).
Thus, **A** is correct: The table shows a probability distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22c22731-3858-419d-b4a1-f1d81ff5f2b6%2F74b8b5b2-0a94-40d8-a690-0037b0d0a505%2F5x9r9q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Analysis**
**Scenario:**
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. If so, find its mean and standard deviation. If not, identify any unsatisfied requirements.
**Table:**
\[
\begin{array}{c|c}
x & P(x) \\
\hline
0 & 0.034 \\
1 & 0.151 \\
2 & 0.315 \\
3 & 0.315 \\
4 & 0.151 \\
5 & 0.034 \\
\end{array}
\]
**Question:**
Does the table show a probability distribution? Select all that apply.
- **A.** Yes, the table shows a probability distribution.
- **B.** No, not every probability is between 0 and 1 inclusive.
- **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, the sum of all the probabilities is not equal to 1.
**Analysis:**
To determine if this is a probability distribution, ensure the following:
1. All probabilities \( P(x) \) must be between 0 and 1 inclusive.
2. The sum of \( P(x) \) values must equal 1.
3. The values of \( x \) must be numerical.
Upon inspection:
- All given \( P(x) \) values (0.034, 0.151, 0.315, 0.151, 0.034) are between 0 and 1.
- The sum of \( P(x) \) values equals 1 (0.034 + 0.151 + 0.315 + 0.315 + 0.151 + 0.034 = 1).
- The variable \( x \) is numerical (0 to 5).
Thus, **A** is correct: The table shows a probability distribution.
![**Probability Distribution Assessment**
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, not every probability is between 0 and 1 inclusive.
- [ ] E. No, the sum of all the probabilities is not equal to 1.
**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. μ = [ ] 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. σ = [ ] 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%2F22c22731-3858-419d-b4a1-f1d81ff5f2b6%2F74b8b5b2-0a94-40d8-a690-0037b0d0a505%2Fy0nxv4p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Assessment**
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, not every probability is between 0 and 1 inclusive.
- [ ] E. No, the sum of all the probabilities is not equal to 1.
**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. μ = [ ] 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. σ = [ ] child(ren) (Round to one decimal place as needed.)
- ( ) B. The table does not show a probability distribution.
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