Beta-binomial Distribution

In probability theory and statistics, the beta-binomial distribution is a family of discrete probability distributions on a finite support of non-negative integers arising when the probability of success in each of a fixed or known number of Bernoulli trials is either unknown or random. The beta-binomial distribution is the binomial distribution in which the probability of success at each trial is not fixed but random and follows the beta distribution

For Data Entry the Beta Binomial Distribution app utilizes two Sliders for the Percentile Variable (x) and the number of steps parameters and two numeric data entry fields for the Shape (a) and Shape (b) data fields.

The Beta Binomial Distribution App displays PDF/CDF graphs and data table which displays (x/f(x)) data pairs. The Range of data displayed is the range of the x variable which is defined as 1.0 <= x <= the number of steps (n) variable.

The graphs are touch enabled.. Upon touching the graph a vertical line appears. Move the vertical line to the left or right to display the point (x/f(x)) data in the upper left of the graph.

The horizontal x-axis displays x values. The vertical y-axis plots a range of f(x) values.

Horizontal Max and Min dashed lines display the Maximum and Minimum f(x) values

Since the Beta Binomial Distribution is a Discrete Probability Distribution a dot (.) indicator is utilized to display each discrete data pair.