About 40% of new single-family homes completed in the United States during 2007 were heated with electricity. For a randomly selected sample of 20 new singlefamily homes completed during that year and the discrete random variable, X = the number of homes in this group. a. Using the binomial distribution tables, determine the probability that x will be exactly 8 homes heated with electricity b. Using the binomial distribution tables, determine the probability that x will be at least 6 but no more than 9 homes. c. Repeat part (3), using the normal approximation to the binomial distribution. d. Repeat part (b), using the normal approximation to the binomial distribution