Suppose that the probability that a passenger will miss a flight is
0.0916
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 are sold, what is the probability that
53
or
54
passengers show up for the flight resulting in an overbooked flight?
(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
51
passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below
10%?
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