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. X P(x) 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 0 0.026 given, identify the requirements that are not satisfied. 1 0.144 2 0.335 3 0.358 4 0.137 . . . A. Yes, ine table snows 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, the random variable x is categorical instead of numerical. E. No, not every probability is between 0 and 1 inclusive. 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. u= 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