Suppose that the probability that a passenger will miss a flight is
0.09560.0956.
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
5959
passengers.(a) If
6161
tickets are sold, what is the probability that
6060
or
6161
passengers show up for the flight resulting in an overbooked flight?(b) Suppose that
6565
tickets are sold. What is the probability that a passenger will have to be "bumped"?(c) For a plane with seating capacity of
5454
passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below
55%?
(a) The probability of an overbooked flight is
nothing.
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