Again, there is no such thing as a “Cumulative Probability Distribution”. It’s right up there with Pink Unicorns.
What you showed was something that starts at zero and increases monotonically to 1. THAT is a Cumulative Distribution Function (as I remember those are the only two requirements for both continuous and discrete CDFs). Just wiki the darn thing and learn.
Here, I’ll even do it for you:
http://en.wikipedia.org/wiki/Cumulative_distribution_function#Properties
But, since you asked to be off this ping list, I guess it doesn't really matter what I call it.
A rose by any other name would still smell as sweet.
-PJ