Five males with anX-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit theX-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution isgiven, find its mean and standard deviation. If a probability distribution is notgiven, 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 probabilitydistribution? 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 variablex'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 belowand, ifnecessary, fill in the answer box to complete your choice.

A.

=child(ren) (Round to one decimal place asneeded.)

B.

The table does not show a probability distribution.

Find the standard deviation of the random variable x. Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

=child(ren) (Round to one decimal place asneeded.)

B.

The table does not show a probability distribution.