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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. X OA. a= B. The table does not show a probability distribution 0 1 child(ren) (Round to one decimal place as needed) 2 3 4 5 P(x) 0.029 0.155 0.316 0.316 0.155 0.029 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 OA. = child(ren) (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. ALZON DELL

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. X OA. a= B. The table does not show a probability distribution 0 1 child(ren) (Round to one decimal place as needed) 2 3 4 5 P(x) 0.029 0.155 0.316 0.316 0.155 0.029 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 OA. = child(ren) (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. ALZON DELL

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
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### Analysis of Probability Distribution for X-Linked Genetic Disorder **Context:** Five males with an X-linked genetic disorder each have one child. The random variable \( x \) represents the number of children among the five who inherit the disorder. We need to determine if a probability distribution is given, and if so, calculate its mean and standard deviation. If not, we identify unmet requirements for a probability distribution. **Probability Data Table:** | \( x \) | \( P(x) \) | |---------|-----------| | 0 | 0.029 | | 1 | 0.155 | | 2 | 0.316 | | 3 | 0.316 | | 4 | 0.155 | | 5 | 0.029 | **Evaluation Questions:** **1. Does the table show a probability distribution?** Select all that apply: - ❑ Yes, the table shows a probability distribution. - ❑ No, the sum of all the probabilities is not equal to 1. - ❑ No, not every probability is between 0 and 1 inclusive. - ❑ No, the random variable \( x \) is categorical instead of numerical. - ❑ No, the random variable's number values are not associated with probabilities. **2. Mean Calculation:** - ❑ A. \( \mu = \_\_\_ \) child(ren) (Round to one decimal place as needed.) - ❑ B. The table does not show a probability distribution. **3. Standard Deviation Calculation:** - ❑ A. \( \sigma = \_\_\_ \) child(ren) (Round to one decimal place as needed.) - ❑ B. The table does not show a probability distribution. **Instructions:** For each section, fill in the appropriate details or calculations where needed. Evaluate the validity of the probability distribution by checking if the sum of all probabilities equals 1 and if all probabilities lie between 0 and 1. Use the given options to decide whether the table represents a proper probability distribution, and calculate the mean and standard deviation accordingly.
Transcribed Image Text:### Analysis of Probability Distribution for X-Linked Genetic Disorder **Context:** Five males with an X-linked genetic disorder each have one child. The random variable \( x \) represents the number of children among the five who inherit the disorder. We need to determine if a probability distribution is given, and if so, calculate its mean and standard deviation. If not, we identify unmet requirements for a probability distribution. **Probability Data Table:** | \( x \) | \( P(x) \) | |---------|-----------| | 0 | 0.029 | | 1 | 0.155 | | 2 | 0.316 | | 3 | 0.316 | | 4 | 0.155 | | 5 | 0.029 | **Evaluation Questions:** **1. Does the table show a probability distribution?** Select all that apply: - ❑ Yes, the table shows a probability distribution. - ❑ No, the sum of all the probabilities is not equal to 1. - ❑ No, not every probability is between 0 and 1 inclusive. - ❑ No, the random variable \( x \) is categorical instead of numerical. - ❑ No, the random variable's number values are not associated with probabilities. **2. Mean Calculation:** - ❑ A. \( \mu = \_\_\_ \) child(ren) (Round to one decimal place as needed.) - ❑ B. The table does not show a probability distribution. **3. Standard Deviation Calculation:** - ❑ A. \( \sigma = \_\_\_ \) child(ren) (Round to one decimal place as needed.) - ❑ B. The table does not show a probability distribution. **Instructions:** For each section, fill in the appropriate details or calculations where needed. Evaluate the validity of the probability distribution by checking if the sum of all probabilities equals 1 and if all probabilities lie between 0 and 1. Use the given options to decide whether the table represents a proper probability distribution, and calculate the mean and standard deviation accordingly.
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