A continuous probability distribution family defined on the interval [0,1][0,1][0,1] with two parameters α,β\alpha, \betaα,βmean - αα+β \frac{\alpha}{\alpha + \beta}α+βα var - αβ(α+β)2(α+β+1)\frac{\alpha\beta}{(\alpha + \beta)^2(\alpha + \beta + 1)}(α+β)2(α+β+1)αβxα−1(1−x)β−1x^{\alpha - 1}(1-x)^{\beta - 1}xα−1(1−x)β−1Beta Distribution NotionBeta Functionai Beta distributionIn probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] in terms of two positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the shape of the distribution.https://en.wikipedia.org/wiki/Beta_distribution