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 X P(x) D K 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. 0 0.027 1 0.145 2 0.340 0.351 4 0.137 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 sum of all the probabilities is not equal to 1. D. No, not every probability is between 0 and 1 inclusive. E. No, the random variable x is categorical instead of numerical. 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. OA u= household(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. O A g= household(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution