1. A statistics professor knows that the time taken to mark a finall exam is normally distributed, with a mean of 37.5 minutes and a standard deviation of 6.4 minutes. a) What is the probability that the next exam paper will take more than 37 minutes to mark? b) The professor has 15 hours to mark the last 26 exams. What is the probability he will finish in time? Hint: Determine the average time per exam he will have to mark