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In: Statistics and Probability

Suppose that the probability that a passenger will miss a flight is 0.0929. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0929. 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 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 54 ​passengers, how many tickets may be sold to keep the probability of a passenger being​ "bumped" below 55​%?

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