2. A New Jersey-based statistics professor has collected data over several years concerning the duration of her morning commute to her university. A brief inspection of the data reveals that her commuting times are (roughly) normally distributed with a mean of 75 minutes and standard deviation of 15 minutes. If she leaves her home at 9:00 a.m. to attend a faculty meeting commencing at 10:30 a.m., what is the probability she will be late for the meeting?