25

A sociologist randomly selects single adults for different groups ofthree, and the random variable x is the number in the group who say that the most fun way to flirt is in person. 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

0.088

1

0.343

2

0.407

3

0.162

Does the table show a probabilitydistribution? Select all that apply.

A.

Yes, the table shows a probability distribution.

B.

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

C.

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

D.

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

E.

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

Find the mean of the random variable x. Select the correct choice belowand, ifnecessary, fill in the answer box

A.

= adult(s) (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.

A.

= adult(s) (Round to one decimal place asneeded.)

B.

The table does not show a probability distribution.