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Kalkulator Distribusi Geometrik
Hitung peluang pada distribusi geometrik langkah demi langkah
Kalkulator akan menghitung probabilitas sederhana dan kumulatif, serta rata-rata, varians, dan simpangan baku dari distribusi geometrik.
Kalkulator terkait: Kalkulator Distribusi Eksponensial
Masukan Anda
Hitung berbagai nilai untuk distribusi geometrik dengan $$$n = 7$$$ dan $$$p = 0.5 = \frac{1}{2}$$$ (termasuk percobaan sukses).
Jawaban
Rata-rata: $$$\mu = \frac{1}{p} = \frac{1}{\frac{1}{2}} = 2$$$A.
Varians: $$$\sigma^{2} = \frac{1 - p}{p^{2}} = \frac{1 - \frac{1}{2}}{\left(\frac{1}{2}\right)^{2}} = 2$$$A.
Simpangan baku: $$$\sigma = \sqrt{\frac{1 - p}{p^{2}}} = \sqrt{\frac{1 - \frac{1}{2}}{\left(\frac{1}{2}\right)^{2}}} = \sqrt{2}\approx 1.414213562373095$$$A.
$$$P{\left(X = 7 \right)} = 0.0078125$$$A
$$$P{\left(X \lt 7 \right)} = 0.984375$$$A
$$$P{\left(X \leq 7 \right)} = 0.9921875$$$A
$$$P{\left(X \gt 7 \right)} = 0.0078125$$$A
$$$P{\left(X \geq 7 \right)} = 0.015625$$$A