A sample of 240 students from COMM sections, class of winter 2019, was taken for an exploratory study of the course activities. Each member of a random sample of 40 of these students was asked to estimate the amount of time he or she spent on the previous week's assignments for quiz preparations. Suppose that the population standard deviation is 35 minutes. What is the probability that the sample mean differs from the population mean by more than 12 minutes?