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 deviation. If a probability distribution is not given, identify the requirements that are not satisfied. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the numerical values of the random variable x are not associated with probabilities. D. No, the sum of all the probabilities is not equal to 1. 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. = household(s) (Round to one decimal place as needed.) OB. 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. OA. a household(s) (Round to one decimal place as needed.) OB. The table does not show a probability distribution. x 0 1 0.146 2 0.341 0.354 0.136 3 P(x) 0.023 4

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