Suppose that the probability that a passenger will miss a flight is 0.0962. 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 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 220 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%? (a) The probability of an overbooked flight is 0.0312. (Round to four decimal places as needed.) (b) The probability that a passenger will have to be bumped is (Round to four decimal places as needed.)
Suppose that the probability that a passenger will miss a flight is 0.0962. 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 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 220 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%? (a) The probability of an overbooked flight is 0.0312. (Round to four decimal places as needed.) (b) The probability that a passenger will have to be bumped is (Round to four decimal places as needed.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose that the probability that a passenger will miss a flight is 0.0962. 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 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 220 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?
Transcribed Image Text:Suppose that the probability that a passenger will miss a flight is 0.0962. 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 51 passengers.
(a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight?
(b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"?
(c) For a plane with seating capacity of 220 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped"
below 1%?
...
(a) The probability of an overbooked flight is 0.0312.
(Round to four decimal places as needed.)
(b) The probability that a passenger will have to be bumped is
(Round to four decimal places as needed.)
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