Excellent. Now you need to understand that natural processes are rarely random. They sometimes have random components, but the only purely random events in nature that I can think of happen in quantum physics.
Do yourself a favor and read up on self-organizing systems.
Click on my profile and note the books that I praise.
So would a non-random process capable of producing useful, sequential data appear more like an intelligent process or a non-intelligent (AKA "natural") process?