1 1) A survey asked a nationwide random sample of 2500 adults if they agreed or disagreed that "I like buying new clothes, but shopping is often frustrating and time-consuming." Suppose that exactly 60% of all adult US residents would say "agree" if asked the same question. Let X = the number in the sample who agree. a) Show that X is a binomial random variable. b) Check the conditions for using a normal approximation. c) Use a normal distribution to estimate the probability that 1520 or more of the sample agree