Suppose that the probability that a passenger will miss a flight is 0.0941 . 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 54passengers 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 210 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?
Suppose that the probability that a passenger will miss a flight is 0.0941 . 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 54passengers 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 210 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Suppose that the probability that a passenger will miss a flight is 0.0941 . 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 54passengers 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 210 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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