Kalkulator Distribusi Beta

Hitung berbagai nilai untuk distribusi beta dengan $$$\alpha = 2$$$, $$$\beta = 3$$$, dan $$$x = 0.5$$$.

Rata-rata: $$$\mu = \frac{\alpha}{\alpha + \beta} = \frac{2}{5} = 0.4$$$A.

Varians: $$$\sigma^{2} = \frac{\alpha \beta}{\left(\alpha + \beta\right)^{2} \left(\alpha + \beta + 1\right)} = \frac{1}{25} = 0.04$$$A.

Simpangan baku: $$$\sigma = \sqrt{\frac{\alpha \beta}{\left(\alpha + \beta\right)^{2} \left(\alpha + \beta + 1\right)}} = \frac{1}{5} = 0.2$$$A.

$$$P{\left(X = 0.5 \right)} = 0$$$A

$$$P{\left(X \lt 0.5 \right)} = 0.6875$$$A

$$$P{\left(X \leq 0.5 \right)} = 0.6875$$$A

$$$P{\left(X \gt 0.5 \right)} = 0.3125$$$A

$$$P{\left(X \geq 0.5 \right)} = 0.3125$$$A