Is there inherent, observable randomness in the universe?

[Siegmund]

Even if you don't care for the Copenhagen interpretation, radioactive decay still appears to be a completely random process.

It has a characteristic rate for a given isotope - but beyond that, we are completely unable to predict in advance when a given atom will decay, and completely unable to influence that rate of decay. Maybe we just aren't able to look in the right place, to "see what time the fuse is set for?" No. The distribution of decay times is exponential; each atom has no memory at all of its past, just as likely to decompose its first minute whether it was freshly made in a reactor or has been around since before the formation of the earth.