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Kalkulator Distribusi Hipergeometrik
Hitung probabilitas dari distribusi hipergeometrik langkah demi langkah
Kalkulator akan menghitung probabilitas sederhana dan kumulatif, serta nilai harapan (mean), varians, dan simpangan baku dari distribusi hipergeometrik.
Masukan Anda
Hitung berbagai nilai untuk distribusi hipergeometrik dengan $$$N = 20$$$, $$$K = 15$$$, $$$n = 12$$$, dan $$$k = 8$$$.
Jawaban
Rata-rata: $$$\mu = n \frac{K}{N} = 12 \cdot \frac{15}{20} = 9$$$A.
Varians: $$$\sigma^{2} = n \frac{K}{N} \frac{N - K}{N} \frac{N - n}{N - 1} = 12 \cdot \frac{15}{20} \frac{20 - 15}{20} \frac{20 - 12}{20 - 1} = \frac{18}{19}\approx 0.947368421052632.$$$A
Simpangan baku: $$$\sigma = \sqrt{n \frac{K}{N} \frac{N - K}{N} \frac{N - n}{N - 1}} = \sqrt{12 \cdot \frac{15}{20} \frac{20 - 15}{20} \frac{20 - 12}{20 - 1}} = \frac{3 \sqrt{38}}{19}\approx 0.973328526784575.$$$A
$$$P{\left(X = 8 \right)}\approx 0.255417956656347$$$A
$$$P{\left(X \lt 8 \right)}\approx 0.051083591331269$$$A
$$$P{\left(X \leq 8 \right)}\approx 0.306501547987616$$$A
$$$P{\left(X \gt 8 \right)}\approx 0.693498452012384$$$A
$$$P{\left(X \geq 8 \right)}\approx 0.948916408668731$$$A