Households are randomly selected and partitioned into groups of four. For those groups, the random variable x is the number of households with a printer. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard x P(X) deviation. If a probability distribution is not given, identify the requirements that are not satisfied. 0.027 0.142 2 0.341 3 0.355 0.135 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x is categorical instead of numerical. C. No, not every probability is between 0 and 1 inclusive. D. No, the sum of all the probabilities is not equal to 1. E. No, the numerical values of the random variable x 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. O A. H= household(s) (Round to one decimal place as needed.) O 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. O A. 6= household(S) (Round to one decimal place as needed.) O B. The table does not show a probability distribution