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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

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, the sum of all the probabilities is not equal to 1.

C.

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

D.

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

E.

No, not every probability is between 0 and 1 inclusive.

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.

=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.

=enter your response here

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

B.

The table does not show a probability distribution.

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