X P(x) 0 0.662 When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. 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 0.281 2 0.052 3 0.004 4 0.001 5 0.000 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, not every probability is between 0 and 1 inclusive. D. No, the random variable x is categorical instead of numerical. 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. O A. μ= male(s) (Round to one decimal place as needed.) 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. OA. G= male(s) (Round to one decimal place as needed.)
X P(x) 0 0.662 When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. 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 0.281 2 0.052 3 0.004 4 0.001 5 0.000 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, not every probability is between 0 and 1 inclusive. D. No, the random variable x is categorical instead of numerical. 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. O A. μ= male(s) (Round to one decimal place as needed.) 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. OA. G= male(s) (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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![### Probability Distribution and Statistical Measures in Color Blindness Research
When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable \( x \) represents the number of males in the group who have a form of color blindness. The table below provides the probability distribution for \( x \).
| x | P(x) |
|---|-------|
| 0 | 0.662 |
| 1 | 0.281 |
| 2 | 0.052 |
| 3 | 0.004 |
| 4 | 0.001 |
| 5 | 0.000 |
**Task:**
1. Determine whether a probability distribution is given. If a probability distribution is provided, find its mean and standard deviation. If no probability distribution is given, identify the requirements that are not satisfied.
**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, not every probability is between 0 and 1 inclusive.
- [ ] D. No, the random variable \( x \) is categorical instead of numerical.
- [ ] 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.
- [ ] A. \( \mu = \) ___ male(s) (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. \( \sigma = \) ___ male(s) (Round to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa058bb5e-e178-4408-8d52-426bc36636a3%2F201c2d7a-04cf-4439-8277-f296b37afaa8%2Frh8wzl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Distribution and Statistical Measures in Color Blindness Research
When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable \( x \) represents the number of males in the group who have a form of color blindness. The table below provides the probability distribution for \( x \).
| x | P(x) |
|---|-------|
| 0 | 0.662 |
| 1 | 0.281 |
| 2 | 0.052 |
| 3 | 0.004 |
| 4 | 0.001 |
| 5 | 0.000 |
**Task:**
1. Determine whether a probability distribution is given. If a probability distribution is provided, find its mean and standard deviation. If no probability distribution is given, identify the requirements that are not satisfied.
**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, not every probability is between 0 and 1 inclusive.
- [ ] D. No, the random variable \( x \) is categorical instead of numerical.
- [ ] 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.
- [ ] A. \( \mu = \) ___ male(s) (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. \( \sigma = \) ___ male(s) (Round to one decimal place as needed.)
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