A sociologist randomly selects single adults for different groups ofthree, and the random variable x is the number in the group who saythat the most fun way to flirt is in person. Determine whether aprobability distribution is given. If a probability distribution is given,find its mean and standard deviation. If a probability distribution is notgiven, identify the requirements that are not satisfied.Does the table show a probability distribution? Select all that apply.X0A. Yes, the table shows a probability distribution.B. No, the random variable x is categorical instead of numerical.C.No, the random variable x's number values are not associated withprobabilities.D. No, not every probability is between 0 and 1 inclusive.E. No, the sum of all the probabilities is not equal to 1.A. μ= adult(s) (Round to one decimal place as needed.)B. The table does not show a probability distribution.123Find the mean of the random variable x. Select the correct choice below and, ifnecessary, fill in the answer box to complete your choice.A.0= adult(s) (Round to one decimal place as needed.)B. The table does not show a probability distribution.P(x)0.0890.3250.4180.168Find the standard deviation of the random variable x. Select the correct choice belowand, if necessary, fill in the answer box to complete your choice.

It is given that X denote the number of adults in the group who say that the most fun way to flirt…

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.