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Suppose that the probability that a passenger will miss a flight is 0.0955


Suppose that the probability that a passenger will miss a flight is 0.0955. 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 56 passengers. 


(a) If 58 tickets are sold, what is the probability that 57 or 58 passengers show up for the flight resulting in an overbooked flight? 

(b) Suppose that 62 tickets are sold. What is the probability that a passenger will have to be 'bumped? 

(c) For a plane with seating capacity of 59 passengers, how many tickets may be sold to keep the probability of a passenger being bumped" below 5%? 

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