I'm looking for a way to adjust the probability distribution of a uniform random function I'm using in a program.
I want to find some discrete probability distribution that includes a parameter for "adjusting" how uniform the distribution is relative to the "center" event. For example, if that parameter, lets say s=0, then the probability of 5 events is exactly equal at 20% each. If I were to change that parameter to s=1, the function would now adjust the probability depending on the distance from the center. So, the probability would change to:
- Event 1: 16%
- Event 2: 18%
- Event 3: 20%
- Event 4: 22%
- Event 5: 24%
And adjusting s higher would yield increasing probability above the "center" event and decreasing probability below the center event, depending on distance from the center - all while retaining a total probability of 100%. Statistics is not my strong point, so I'm just hoping someone with some experience might understand what I'm looking for :)