Upper panel: distribution function of the derived gas mass, M_GAS, DER, assuming an extended KS law to hold. The blue dotted histogram shows the M_GAS, DER for the LTGs and Irs, while the black solid line shows the derived M_GAS, DER for all galaxies, assuming that the ETGs also follow the same Eq. (7), defined by the LTGs and Irs. Lower panel: distribution function of the GDR_DER, assuming an extended KS law to hold. The dotted blue and solid black histograms are defined in the same way as in the upper panel.