I'm not mathematician, but yes there have been studies to show that bombs sometimes fell in clusters, and those clusters were symptomatic of a perfectly random

I'm not mathematician, but yes there have been studies to show that bombs sometimes fell in clusters, and those clusters were symptomatic of a perfectly random distribution, and that the nazi didn't have the skills/time to target some places more than others. In fact, if a function returned a homogeneous grid of spots, then it would be optimized for homogeneity, not randomness.