A realization of the observed EMRIs; each black line represents an EMRI, chosen according to the distribution given in Equation (35), assuming an observation time T _LISA = 4 yr. As in Figure 5, the black thick line is the LISA sensitivity curve and the colored lines present contours of the observed source numbers. The color bar presents the average redshift of the observed sources. The white line corresponds to the GWB (Equation (41)), assuming a limit of one source per four frequency bins, δ f = 1/T _LISA. Roughly 2 × 10³ resolvable sources lie above the red line, which depicts the ﹩{\left.\mathrm{SNR}\right|}_{\mathrm{th}}=20﹩ threshold.