Suppose that the probability that a passenger will miss a flight is 0.0949. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers...

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

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

passengers.

​(a) If

tickets are​ sold, what is the probability that

or

passengers show up for the flight resulting in an overbooked​ flight?

​(b) Suppose that

tickets are sold. What is the probability that a passenger will have to be​ "bumped"?

​(c) For a plane with seating capacity of

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