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Suppose an airline sells 172 tickets for a flight that holds only 170 passengers, banking on some of the passengers to not show up. Unfortunately
Suppose an airline sells 172 tickets for a flight that holds only 170 passengers, banking on some of the passengers to not show up. Unfortunately for the airline, all 172 of them do and they are now all on board. The probability that a passenger would accept the airline's meager reward and be voluntarily bumped off the flight is 0.020, and the passengers make decisions independently. What is the probability that there aren't enough volunteers, and someone will have to be involuntarily removed from the flight? (Your answer should be a decimal. Round to 4 decimal places if necessary.)
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