Bill needs to schedule a meeting for tomorrow afternoon, but he also has a tee time for golf at 10 a.m. Bill usually finishes a round of golf in 4.25 hours. If the course is empty and he doesn’t spend too much time looking for lost balls, he can finish in 3.25 hours. However, if the course is crowded, there are rain delays, and/or he hits many bad shots, a round can take as much as 5.5 hours.
a. What is the expected time that Bill will complete his round of golf tomorrow?
b. If Bill schedules a meeting to begin at 3:30 p.m. tomorrow and it takes 30 minutes for him to get from the golf course to his office, what is the probability that he will make it to the meeting on time?