Suppose that the probability that a passenger will miss a flight is

0.09620.0962.

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

5050

passengers.(a) If

5252

tickets are sold, what is the probability that

5151

or

5252

passengers show up for the flight resulting in an overbooked flight?(b) Suppose that

5656

tickets are sold. What is the probability that a passenger will have to be "bumped"?(c) For a plane with seating capacity of

250250

passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below

11%?