Suppose that the probability that a passenger will miss a flight is 0.0933. 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 52 passengers.

(a) If 54 tickets aresold, what is the probability that 53 or 54 passengers show up for the flight resulting in an overbookedflight?

(b) Suppose that 58 tickets are sold. What is the probability that a passenger will have to be"bumped"?

(c) For a plane with seating capacity of 250 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being"bumped" below 1%?