ControlNext week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. The airline knows from history that an average of $20$ customers $($with a standard deviation of $10)$ cancel their reservation or do not show for the flight. Revenue from a ticket on the flight is $$100.$ If the flight is overbooked, the airline has a policy of getting the customer on the next available flight and giving the person a free round$-$trip ticket on a future flight. The cost of this free round$-$trip ticket averages $$210.$ Super Discount considers the cost of flying the plane from New York to Los Angeles a sunk cost