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. x​P(x)    0.0.086   10.332   20.428   30.154Find 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.)Your answer is correct. 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.)Your answer is correct. B.The table does not show a probability distribution.

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Asked Jan 31, 2020
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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.
 
x
​P(x)
 
 
 
 
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.)
Your answer is correct.
 
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.)
Your answer is correct.
 
B.
The table does not show a probability distribution.
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Expert Answer

Step 1
Statistics homework question answer, step 1, image 1
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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
Statistics homework question answer, step 3, image 1
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