I find myself in the camp that holds that even low-level, microbial life is pretty rare, while high-level, intelligent life is incredibly rare (I think it's quite possible that Earth holds the only instances in the entire Milky Way galaxy). But I wouldn't care to dispute heatedly with anybody who thinks otherwise, because we're still a ways from having enough information to draw sound conclusions on the question.
On the star travel question, I suspect that within the next few hundred yearsprovided something really awful doesn't happenwe're going to launch a probe towards Proxima Centauri. It'll be a long-term project, but perhaps we'll find some things of interest. Of course, that's assuming that we don't just innundate our local neighborhood with von Neumann probes, which I suppose could happen.
Using the roughly correct value of 3963 miles for the radius of the Earth, we have
BS = 37,513,386,749 cubic miles (new, smaller value)
PC = 1.131 x 1041 cubic miles (no change from earlier post)
and so
BS / PC = 3.32 x 10-31 (new, smaller value)
or
BS / PC = .00000000000000000000000000000000332
Hence life occupies no more than
3.32 billionths of a trillionth of a trillionth
of the spatial volume in a sphere of radius 5 light years centered on the Earth.
Note that this is a considerably smaller fraction even than was found in post #4 (it's about 24% of the earlier, incorrect result).