14. Suppose that the probability that a passenger will miss a flight is 0.0905. Airlines do not like flights with empty seats 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 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 58 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below 5%? (a) The probability of an overbooked flight is (Round to four decimal places as needed.) (b) The probability that a passenger will have to be bumped is (Round to four decimal places as needed. ) (c) The largest number of tickets that can be sold while keeping the probability of a passenger being "bumped" below 5% is (Type a whole number.)