The latest political opinion poll conducted in the United States reveals that if an American is selected at random, the probability that he is conservative is .45, the probability that he is liberal is .40, and the probability that he has an attitude intermediate is .15. Assuming these figures are correct, answer the following questions regarding a group of 10 randomly chosen Americans. (Do not use Table 3 in the appendix). a) What is the probability that 6 are liberals? b) What is the probability that neither is conservative? c) What is the probability that 3 have an intermediate attitude? d) what is the probability that at least 8 are liberals?