A sociologist randomly selects single adults for different groups of three, and the random variable x is

Question:

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 (based on a Microsoft Instant Messaging survey).
x P(x)
0...............0.091
1...............0.334
2...............0.408
3...............0.166
Determine whether a probability is given. If a probability is given, find its mean and standard deviation. If a probability is not given, identify the requirements that are not satisfied.
Distribution
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