Suppose that the probability that a passenger will miss a flight is 0.0987. Airlines do not like flights with emptyseats, but it is also not desirable to have overbooked flights because passengers must be"bumped" from the flight. Suppose that an airplane has a seating capacity of 50 passengers.

a) If 52 tickets aresold, what is the probability that 51 or52 passengers show up for the flight resulting in an overbookedflight?

b) Suppose that 56 tickets are sold. What is the probability that a passenger will have to be"bumped"?

c) For a plane with seating capacity of 54 passengers, how many tickets may be sold to keep the probability of a passenger being"bumped" below 5%?