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5.4: Sura ya Tathmini ya Mfumo

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    179764

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    5.1 Mali ya Kazi za Uzito wa Uwezekano

    Uwezekano wiani kazi (pdf)\(f(x)\):

    • Kazi ya usambazaji wa jumla (cdf):\(P(X \leq x)\)

      5.2 Usambazaji Sare

      \(X \sim U (a, b)\)

      Maana ni\(\mu=\frac{a+b}{2}\)

      Kupotoka kwa kiwango ni\(\sigma=\sqrt{\frac{(b-a)^{2}}{12}}\)

      Uwezekano wiani kazi:\(f(x)=\frac{1}{b-a} \text { for } a \leq X \leq b\)

      Eneo kwa upande wa kushoto wa\(\bf{x}\):\(P(X<x)>

      Eneo la Haki ya\ (\ bf {x}\):\(P(X>x)=(b-x)\left(\frac{1}{b-a}\right)\)

      Eneo Kati\(\bf{c}\) na\(\bf{d}\):\(P(c<d)>

      • 5.3 Usambazaji wa kielelezo

        • pdf:\ (f (x) = me^ {(—mx)}\) wapi\(x \geq 0\) na\(m > 0\)
        • cdf:\(P(X \leq x) = 1 – e^{(–mx)}\)
        • maana\(\mu = \frac{1}{m}\)
        • kiwango kupotoka\(\sigma = \mu\)
        • Kwa kuongeza
          • \(P(X > x) = e^{(–mx)}\)
          • \(P(a < X < b) = e^{(–ma)} – e^{(–mb)}\)
        • Poisson uwezekano:\(P(X=x)=\frac{\mu^{x} e^{-\mu}}{x !}\) kwa maana na ugomvi wa\(\mu\)