A relevant example is air plane ticket overbooking. If an air plane has a capacity of 100 seats, and the probability of of a passenger showing up to their flight is 80%, then you can overbook ticket sales due to the probability of passengers not showing up
- If 110 tickets are sold, the probability of more than 100 passengers is 0.0058%
- If 115 tickets are sold, the probability goes up to 1.94%
- If 120 tickets are sold, the probability is 15.17%
- If 130 tickets are sold, the probability is 78.12%
