2. On one day, an advisor offers students 12 consecutive 15-minute slots for appointments: 9:00-9:15, 9:15-9:30, and so on, up to 11:45-12 noon. That's four slots in each of the three hours 9-10, 10-11, and 11-12. Five students sign up for one slot each. You can assume that the chosen slots are five draws made at random without replacement from the 12 available slots. a) [2 points ] Find the chance that exactly two of the chosen slots are in the 9-10 hour. b) [2 points ] Find the chance that the chosen slots consist of two in the 9-10 hour, two in the 10-11 hour, and one in the 11-12 hour. c) [2 points ] Find the chance that there is one chosen slot in one of the three hours and two chosen slots in each of the other two hours. d) [2 points ] Find the decimal value of the expected number of slots after the last of the chosen slots