Total expected X-ray luminosity (0.5–2 keV) due to the stochastic sampling of the HMXBs XLF from Lehmer et al. (2021) (L21), as a function of SFR. Orange and yellow shaded regions indicate the 99% and the 99.9% C.I. of the expected $L_X^{0.5-2}$ distribution per SFR-M_⋆ bin, due to the stochastic sampling of the XLF. The magenta line shows the 99.9% C.I. of the same distribution and the red line the 99% C.I from the Mineo et al. (2012a) (M12) XLF. Brown open squares and blue stars show the mean and mode values of the distributions, respectively. The uncertainties of the means correspond to the 68% C.I. Black stars (reliable flux) and grey down-arrows (uncertain flux) indicate the individual HEC-eR1 star-forming galaxies. The red dashed line shows the L_X-SFR scaling relation from Mineo et al. (2014) (M14) with its 1σ scatter.