The forward area of an aircraft has 2 lavatories. On average, passengers arrive to the lavatory every 8 minutes. If both lavatories are in use, the passenger is sent away there is no waiting in the forward area of the aircraft. On average, a passengers length of stay is 4 minutes, with a standard deviation of 2 minutes.

What is the probability a passenger finds both lavatories in use and is sent away? (report your answer as a decimal to 4 decimal places)