During arrival and departure procedures at an airport, aircraft generate noise. High levels of noise during these terminal procedures can have a negative impact on the communities located near the airport. We assess the impact of the noise generated by a standard instrument departure of a twin-engine narrow body mid-range aircraft over the communities nearby Amsterdam Airport Schiphol, the Netherlands. During the departure procedure, we consider a stochastic flight trajectory that is subject to lateral position errors. We estimate, using Monte Carlo simulation, the distribution of the sound exposure level and of the number of awakenings generated by a departure. We also identify the residential areas where the number of awakenings are overestimated or underestimated, when comparing a stochastic and a deterministic departure approach. Lastly, we approximate the distribution of the noise level for a generic aircraft departure, which can be further employed for further optimization of departure procedures. @en