Redshift distribution as a function of GRB brightness at the time of observation (middle panel) and dust extinction, AV (bottom panel). Blue filled circles denote the GRBs in our statistical sample with C I detected in absorption. Black empty circles mark the GRBs in our sample without C I, where triangles represent upper limits on AV. In the middle and bottom panels, the dashed lines show the mean acquisition magnitudes and AV values for the GRBs without (black) and with (blue) C I detected in absorption in different bins: 1 < z < 2, 2 < z < 3, 3 < z < 4, and z > 4. In the top panel the fraction of GRB C I absorbers is shown in the same redshift interval. The GRBs with C I detected below the completeness limit are shown by the blue empty circles, and are not included in the analysis.
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