Kain Air has a policy of overbooking their planes. They will book 15 passengers for a plane that has only 13 seats. Past experience has shown that only 90% of the passengers who are booked actually show up for the flight. If 15 passengers have booked tickets on the flight, what is the probability that:
1) The flight will have just enough seats (i.e. exactly enough seats)?
2) The demand for seats will exceed the supply of seats.
3) There will be at least one empty seat?
4) Should Kain Air rethink its policy of allowing the plane to be overbooked by up to 2 passengers? Explain.