Probability.docx

United flight 15 from New Yorks JFK to San Francisco uses a Boeing 757-200 with 180 seats. Because some people with tickets dont show up, United can overbook by selling more than 180 tickets. If the flight is not overbooked, the airline will lose revenue due to empty seats, but if too many tickets are sold and some passengers are denied seats, the airline loses money from the compensation that must be given to bumped passengers. Assume that there is a 0.0995 probability that a passenger with a ticket will NOT show up for the flight. Also assume that airline sells 200 tickets for the 180 seats that are available.

1. When 200 tickets are sold, calculate the probability that more passengers show up than there are seats available. Show your calculation (ie, what you put in the calculator).