# Probability of Overbooking an Airplane

A Boeing 767-300 has 213 seats. When someone buys a ticket for a flight, there is a 0.0995 chance that the person will not show up for the flight (based on data from an IBM research paper by Lawrence, Hong, and Cherrier). A ticket agent accepts 236 reservations for a flight that uses a Boeing 767-300. Find the probability that not enough seats will be available. Is this probability low enough so that overbooking is not a real concern?

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#### Solution Preview

Let X be the number of 236 people who will show up. Then X follows a binomial distribution with n=236 and p=1-0.0995=0.9005. So, ...

#### Solution Summary

This solution provides steps to determine the probability of overbooking tickets for a flight.

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