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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

0.027

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.

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Answered by KidSteel7934 on coursehero.com

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