Rumus Kebarangkalian Asas

 

Julat Kebarangkalian

0 ≤ P ( A ) ≤ 1

Peraturan Acara Pelengkap

P ( A C ) + P ( A ) = 1

Peraturan Penambahan

P (A∪B) = P (A) + P (B) - P (A∩B)

Acara Disjoint

Acara A dan B tidak terpisah

P (A∩B) = 0

Kebarangkalian Bersyarat

P (A | B) = P (A∩B) / P (B)

Formula Bayes

P (A | B) = P (B | A) ⋅ P (A) / P (B)

Acara Berdikari

Acara A dan B tidak bergantung

P (A∩B) = P (A) ⋅ P (B)

Fungsi Pembahagian Kumulatif

F X ( x ) = P ( X ≤ x )

Fungsi Jisim Kebarangkalian

jumlah (i = 1..n, P (X = x (i)) = 1

Fungsi Ketumpatan Kebarangkalian

fX (x) = dFX (x) / dx

FX (x) = integral (-inf..x, fX (y) * dy)

FX (x) = jumlah (k = 1..x, P (X = k))

P (a <= X <= b) = integral (a..b, fX (x) * dx)

kamiran (-inf..inf, fX (x) * dx) = 1

 

Kovarians

Cox (X, Y) = E (X-ux) (Y-uy) = E (XY) - ux * uy

Korelasi

kor (X, Y) = Cov (X, Y) / (Std (X) * Std (Y))

 

Bernoulli: 0-kegagalan 1-kejayaan

Geometrik: 0-kegagalan 1-kejayaan

Hypergeometric: Objek N dengan objek kejayaan K, objek n diambil.

 

 

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KEBARANGKALIAN & STATISTIK
JADUAL RAPID