As you walk down a path, you approach three living statues - Truth, Falsehood, and Randomness, in no discernible order. The statue Falsehood always speaks falsely, Truth always speaks truly, and Randomness answers randomly to the best definition of the term. This means Randomness switches between speaking truly and falsely quite chaotically.

How could you determine which living statue is Truth, which is Falsehood, and which is Randomness on three questions, each directed at only one living statue at a time? You may ask one specific living statue more than one question which means you could ask no questions of another living statue.

Also, the living statues understand English but reply in an alien language of either Uu or Ww and you don't initially know which means yes and which means no.

Alternatively, if you can't do it in three questions, how many questions does it take you?

If you've heard of this riddle before, you're honor bound to say spoilers before you give the answer.