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...



























































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


​P(x)








0


0.033








1


0.161








2


0.306








3


0.306








4


0.161








5


0.033
















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.






C.


​No, the sum of all the probabilities is not equal to 1.






D.


​No, the random variable​ x's number values are not associated with probabilities.






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.







A.



μ=enter your response here

​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.



σ=enter your response here

​child(ren) ​(Round to one decimal place as​ needed.)






B.


The table does not show a probability distribution.








Jun 10, 2022
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