Homework Help is Here – Start Your Trial Now!
Math
Statistics
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS