5. SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on the data from the College Board ATP). Draw and shade your density curve, show your statistical calculations. a) If a single student is randomly selected, find the probability that the student's score on the SAT verbal is above 500. b) If a sample of 15 students is selected randomly, find the probability that the sample mean is above 500.