In: Statistics and Probability
Suppose that the probability that a passenger will miss a flight is
0.0912
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
53
passengers.(a) If
55
tickets are sold, what is the probability that
54
or
55
passengers show up for the flight resulting in an overbooked flight?(b) Suppose that
59
tickets are sold. What is the probability that a passenger will have to be "bumped"?(c) For a plane with seating capacity of
52
passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below
10%