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. ☐☐ A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. X 0 1 2 3 4 5 P(x) 0.029 0.152 0.319 0.319 0.152 0.029 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, the random variable x is categorical instead of numerical. 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= child(ren) (Round to one decimal place as needed.)

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.
Does the table show a probability distribution? Select all that apply.
X
P(x)
0.029
0
1
0.152
2 0.319
3
0.319
0.152
4
5 0.029
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's number values are not associated with probabilities.
D. No, the sum of all the probabilities is not equal to 1.
E. No, the random variable x is categorical instead of numerical.
n
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= child(ren) (Round to one decimal place as needed.)
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. Does the table show a probability distribution? Select all that apply. X P(x) 0.029 0 1 0.152 2 0.319 3 0.319 0.152 4 5 0.029 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's number values are not associated with probabilities. D. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x is categorical instead of numerical. n 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= child(ren) (Round to one decimal place as needed.)
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. 6=
child(ren) (Round to one decimal place as needed.)
B. The table does not show a probability distribution.
Transcribed Image Text: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. 6= child(ren) (Round to one decimal place as needed.) B. The table does not show a probability distribution.
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