Five males with an​ X-linked genetic disorder have one child...

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

0.027

1

0.158

2

0.315

3

0.315

4

0.158

5

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 random variable​ x's number values are not associated with probabilities.

D.

​No, the random variable x is categorical instead of numerical.

E.

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

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.

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

B.

The table does not show a probability distribution.