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 0.032       1 0.147       2 0.321       3 0.321       4 0.147       5 0.032     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'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=nothing ​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=nothing ​child(ren) ​(Round to one decimal place as​ needed.)   B. The table does not show a probability distribution.   Click to select and enter your answer(s).

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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
​P(x)
 
 
 
0
0.032
 
 
 
1
0.147
 
 
 
2
0.321
 
 
 
3
0.321
 
 
 
4
0.147
 
 
 
5
0.032
 
 
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'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=nothing
​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=nothing
​child(ren) ​(Round to one decimal place as​ needed.)
 
B.
The table does not show a probability distribution.
 
Click to select and enter your answer(s).
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