Question: Suppose that the probability that a passenger will miss a flight is 0.0927. Airlines do not like flights with empty seats, but it is also

Suppose that the probability that a passenger will miss a flight is 0.0927. 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 57 passengers.

(A) If 59 tickets are sold, what is the probability that 58 or 59 passengers show up for the flight resulting in an overbooked flight? (B) Suppose that 63 tickets are sold. What is the probability that a passenger will have to be "bumped"?

(C) For a plane with seating capacity of 280 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?

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