A survey finds that 68% of all patients who get a new vaccine report a sore arm 24 hours after receiving the vaccine. Suppose a random sample of 250 patients is chosen to survey. Assume a binomial distribution. (4 points each) a) Find the following parameters: n, p, and q. b) Find the probability that exactly 150 patients will report a sore arm after receiving the vaccine. c) Find the probability that 180 or fewer of patients will report a sore arm after receiving the vaccine. d) Find the mean and the standard deviation for this distribution.