According to a survey, 68% of Americans say that they go to a movie theater at least once a month. Suppose that this proportion is true for the current American population. a. Let x be a binomial random variable that denotes the number of Americans in a random sample of 12 who say that they go to a movie theater at least once a month. What are the possible values that x can assume? b. Find the probability that exactly 9 Americans in a random sample of 12 will say that they go to a movie theater at least once a month