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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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.
P(x) D
0.026
X
0.163
0.311
3
0.311
4
0.163
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.
O A.
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.
O A.
child(ren) (Round to one decimal place as needed.)
O B. The table does not show a probability distribution.
Transcribed Image Text: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 X 0.163 0.311 3 0.311 4 0.163 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. O A. 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. O A. child(ren) (Round to one decimal place as needed.) O B. The table does not show a probability distribution.
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