roups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a​ self-driving vehicle. 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.

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Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a​ self-driving vehicle. 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
0.356
 
 
 
1
0.443
 
 
 
2
0.179
 
 
 
3
0.022
 
 
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 is categorical instead of numerical.
 
D.
​No, the sum of all the probabilities is not equal to 1.
 
E.
​No, the random variable​ x's number values are not associated with probabilities.
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=0.90.9
​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.
σ=0.80.8
​adult(s) ​(Round to one decimal place as​ needed.)
 
B.
The table does not show a probability distribution.
 
 

 

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