Can I run Docker inside an OpenVZ VPS?

Okay, now I am considering to run a small Cluster (a group of 2 or 3 VPS) for my coming postgresql servers.

With reference to today's hardware price, I need to squeeze my cost to the lowest. So, I consider to buy several VPS built on OpenVZ. I heard that OpenVZ VPS is cheaper and faster than KVM VPS.

Now, my questions are:

1. Can I choose Ubuntu as the OpenVZ VPS's OS?
2. Can I install Docker inside this OpenVZ VPS?

Yours faithfully.