Suppose that the probability that a passenger will miss a flight is 0.0976. 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 59 passengers.
(a) If 61 tickets are sold, what is the probability that 60 or 61 passengers show up for the flight resulting in an overbooked flight?
The probability of an overbooked flight is (BLANK)
(b) Suppose that 65 tickets are sold. What is the probability that a passenger will have to be "bumped"?
The probability that a passenger will have to be bumped is (BLANK)
(c) For a plane with seating capacity of 58 passengers, how many tickets may be sold to keep the probability of a passenger being "bumped" below 5%?
The largest number of tickets that can be sold while keeping the probability of a passenger being "bumped" below 5% is (BLANK)
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