Binned distributions of the Jovian electron propagation time using the normal (red) and new (blue) way of defining the probability distribution. Thereby panel a shows the distribution of exit times of pseudo-particles for a good magnetic connection between the observational point and the Jovian source and panel b for the case of poor magnetic connection. The blue distribution shows the weighted exit times, which we refer to as the propagation (residence) time of Jovian electrons. Again the integral distribution of the pseudo-trajectories contribution to τ is shown by the dashed line. The residence times are obtained via Eq. (10).