Rumus Probabilitas Dasar

 

Rentang Probabilitas

0 ≤ P(A) ≤ 1

Aturan Acara Pelengkap

P(AC) + P(A) = 1

Aturan Penambahan

P(A∪B) = P(A) + P(B) - P(A∩B)

Acara Disjoint

Kejadian A dan B saling lepas iff

P(A∩B) = 0

Probabilitas Bersyarat

P(A | B) = P(A∩B) / P(B)

Formula Bayes

P(A | B) = P(B | A) ⋅ P(A) / P(B)

Acara Mandiri

Kejadian A dan B saling bebas iff

P(A∩B) = P(A) ⋅ P(B)

Fungsi Distribusi Kumulatif

FX(x) = P(Xx)

Fungsi Massa Probabilitas

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

Fungsi Kepadatan Probabilitas

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)

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

 

Kovarian

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

Korelasi

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

 

Bernoulli: 0-gagal 1-sukses

Geometrik: 0-gagal 1-sukses

Hypergeometric : N objek dengan K objek berhasil diambil n objek.

 

 

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