12p Distribution of scores in a certain board examination is normally distributed with a mean score of 208 and a standard deviation of 38.5. a. The board sets the passing score at 180. What percentage of applicants will pass the test? b. Suppose 160 students were chosen randomly. What is the probability that at least 80% of them will pass the test [ i.e., find P(sample proportion > 0.8)] ? Hint: To solve part (b) you need to use part (a); If you cannot solve (a) assume that the answer is 0.82