Left: average optical depth ⟨τ⟩ (considering all deflector types) as a function of cosmological matter density parameter Ω_m, modeling the deflectors with the SIS and SIE models. Right: normalized redshift distributions ω_zs and ω_zd of the lensed sources and of the deflectors (for the early-type galaxy population) for different values of Ω_m = 0,0.3 and 1. All simulations were produced for θ_min = 0.2′′.