Low Budget Air (LBA), historical data shows that 80% of all passengers show up in time to board. Therefore, they occasionally over-book flights in hopes of filling each plane to capacity. Here we consider some probabilities associated with this type of issue. Suppose a small plane has a capacity of 15 passengers. They book 15 passengers for a flight on this plane.
(a) What is the probability that exactly 15 passengers show up? Round your answer to 3 decimal places.
(b) What is the probability that exactly 14 passengers show up? Round your answer to 3 decimal places.
(c) What is the probability that they will have at least one empty seat? Round your answer to 3 decimal places.
d) If only 9 passengers show up, would that be considered an unusually low number* of passengers?
Yes, that is an unusually low number of passengers.
No, that is not an unusually low number of passengers.    
(e) If only 8 passengers show up, would that be considered an unusually low number* of passengers?
Yes, that is an unusually low number of passengers.
No, that is not an unusually low number of passengers.