Van Air offers several direct flights from Vancouver to Victoria. Van Air has a policy of overbooking their planes. Past experience has shown that only 90% of the passengers who purchase a ticket actually show up for the flight. If too many passengers show up for the flight, Van Air will ask for a volunteer to give up their seat in exchange for a free ticket. 11 passengers have purchased tickets on a flight that has only 10 seats. (a) What is the probability of the flight being exactly 80% full? (b) What is the probability that there are enough seats so that every passenger who shows up will get a seat on the plane? (C) What is the probability there will be at least one empty seat? (i.e. the flight is not full) (d) You and your partner show up without a reservation and ask to go standby. What is the probability that the two of you will get a seat on this flight? (e) What is the probability of at most two passengers not showing up for the flight?