Diskretne slucajne spremenljivke

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Lastnosti diskretnih slucajnih spremenljivk
Aleksandra Franc
Mind Map by Aleksandra Franc, updated more than 1 year ago
Aleksandra Franc
Created by Aleksandra Franc over 5 years ago
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Diskretne slucajne spremenljivke
  1. Binomska B(n,p)
    1. X = st. uspelih poskusov pri n ponovitvah poskusa
      1. p = verjetnost uspeha pri eni ponovitvi poskusa
        1. E(X) = np
          1. D(X) = np(1-p)
    2. Geometrijska G(p)
      1. X = st. poskusov, dokler se ne zgodi A
        1. p = P(A)
          1. E(X) = 1/p
            1. D(X) = (1-p)/(p^2)
      2. Pascalova P(n,p)
        1. X = st. poskusov, dokler se A ne zgodi n-krat
          1. p = P(A)
            1. E(X) = n/p
              1. D(X) = n(1-p)/(p^2)
        2. Hipergeometrijska H(r,b,n)
          1. X = st. rdecih kroglic med n izvlecenimi
            1. r = st. rdecih kroglic v skatli
              1. b = st. belih kroglic v skatli
                1. E(X) = nr/(r+b)
                  1. D(X) = nrb(r+b-n)/)(r+b)^2(r+b-1))
          2. Poissonova P(a)
            1. X = st. ponovitev dogodka v predpisanem casovnem intervalu
              1. a = frekvenca krat dolzina intervala
                1. E(X) = 1/a
                  1. D(X) = a
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