1. Prisoners are ordered by whether they have an attorney (so those going last in a session are self-represented)
2. Judges order prisoners often by "complexity of the case", so the ones taking most time are first (and therefore most likely to have a favorable decision, a short/easy case is probably a no-parole situation)
3. Statistically, the cases that gained parole take longer than those that don't, so even if they are random/normally distributed, then if one falls at the end, it will come back to the beginning of next session. A simulation shows that even with random ordering, you still get the same graph (because the long/complex cases that could be paroled tend to be moved to next session when the session is almost out of time).
So after reading this, the graph means: Ratio of cases with a lawyer that can be finished in the remaining time in the session.
Both values are decreasing as the session continues, so it produces a heavy down sloping graph that resets each session to some approximately random value (.65).