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Kalkulator Distribusi Binomial
Hitung probabilitas distribusi binomial langkah demi langkah
Kalkulator akan menghitung probabilitas sederhana dan kumulatif, serta nilai rata-rata, varians, dan simpangan baku dari distribusi binomial.
Masukan Anda
Hitung berbagai nilai untuk distribusi binomial dengan $$$n = 20$$$, $$$p = 0.3 = \frac{3}{10}$$$, dan $$$x = 5$$$.
Jawaban
Rata-rata: $$$\mu = n p = \left(20\right)\cdot \left(\frac{3}{10}\right) = 6$$$A.
Varians: $$$\sigma^{2} = n p \left(1 - p\right) = \left(20\right)\cdot \left(\frac{3}{10}\right)\cdot \left(1 - \frac{3}{10}\right) = \frac{21}{5} = 4.2$$$A.
Simpangan baku: $$$\sigma = \sqrt{n p \left(1 - p\right)} = \sqrt{\left(20\right)\cdot \left(\frac{3}{10}\right)\cdot \left(1 - \frac{3}{10}\right)} = \frac{\sqrt{105}}{5}\approx 2.04939015319192.$$$A
$$$P{\left(X = 5 \right)}\approx 0.17886305056988$$$A
$$$P{\left(X \lt 5 \right)}\approx 0.237507778877602$$$A
$$$P{\left(X \leq 5 \right)}\approx 0.416370829447481$$$A
$$$P{\left(X \gt 5 \right)}\approx 0.583629170552519$$$A
$$$P{\left(X \geq 5 \right)}\approx 0.762492221122398$$$A