A newspaper reports that 8.6% of adults in the U.K. painted the outside of their houses. (C) A sample of 55 adults in the U.K. was selected. Stating any necessary assumptions, show that the number in the sample that painted the outsides of their own houses can be approximated by a Poisson distribution. Using this approximation, find the probability that fewer than four people in the sample painted the outsides of their own houses. (C)