Question
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 x ​P(x) A sociologist randomly selects single adults for different groups of​ three, 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 is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied. 0. 0.086 1 0.332 2 0.428 3 0.154
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=?
​adult(s) ​(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=?
​adult(s) ​(Round to one decimal place as​ needed.)

B.
The table does not show a probability distribution.
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Step 1
Step 2

The probabilities are given in the above table as p(x)

0.086, 0.332, 0.428, 0.154

Condition for probability distribution.

∑p(x) =1

So,

0.086+0.332+0.428+0.154=1

Thus the given table shows probability distribution.

Step 3

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