New York City is estimated to have 27.1 percent of the homes with T.V. sets served by cable T.V. If a random sample of 6 is taken from these homes find the probability distribution of x where x is the number of T.V. homes in the sample having cable T.V. Compute the mean and standard deviation of the number of T.V. homes with cable service in the sample. (Round your answer(s) to 3 decimal places.)