QuestionCollege students are randomly selected and arranged in groups of three. The random variable $x$ is the number in the group who say that they take one or more online courses. 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. \begin{tabular}{c|c} \hline $\mathbf{x}$ & $\mathbf{P ( x )}$ \\ \hline 0 & 0.102 \\ \hline 1 & 0.356 \\ \hline 2 & 0.396 \\ \hline 3 & 0.146 \\ \hline \end{tabular}
Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable $x$ are not associated with probabilities. 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, not every probability is between 0 and 1 inclusive.