Offwego Airlines has a daily flight from Chicago to Las Vegas. On average, 20 ticket holders cancel their reservations, so the company intentionally overbooks the flight. Cancellations can be described by a normal distribution with a mean of 20 passengers and a standard deviation of 4.45 passengers. Profit per passenger is $102. If a passenger arrives but cannot board due to overbooking, the company policy is to provide a cash payment of $220.