In an influential paper, Choi and Kim (2010) derived waiting times in an  queuing model under net neurality and under prioritization. In this short paper, we argue that the waiting times of content transmission that Choi and Kim (2010) derived by using the  gueuing model under the non-preemptive priority rule are miscalculated. We provide corrected waiting times in the  queuing model in the prioritization case. We also show that this correction does not affect their main results on the delay time and the incentive to invest in the network capacity qualitatively.