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Question: five males with an xlinked genetic disorder have one child...

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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)

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0

0.0330.033

1

0.1620.162

2

0.3050.305

3

0.3050.305

4

0.1620.162

5

0.0330.033

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

D.

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

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.

muμequals=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.

sigmaσequals=nothing

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

B.

The table does not show a probability distribution.

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