Beta Distribution graph Inverted Beta Distribution graph

#### Description

The experiment simulates a random variable $$X$$ with the beta distribution with left shape parameter $$a$$ and right shape parameter $$b$$. Random variable $$Y = X / (1 - X)$$ has the inverted beta distribution with parameters $$a$$ and $$b$$. On each run, the applet shows the beta variable in the graph on the left. The inverted beta distribution is shown in the graph and table on the right. As the experiment runs, the empricial density and moments are shown in this graph and recorded in this table. The parameters $$a$$ and $$b$$ can be varied with the input controls.