Statistika (za biologe, 2.dio) - Pmf
Statistika (za biologe, 2.dio) - Pmf
Statistika (za biologe, 2.dio) - Pmf
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Iz osnovnih pravila <strong>za</strong> računanje vjerojatnosti (ali i integrala) <strong>za</strong> a < b slijedi<br />
P (a ≤ Z ≤ b)<br />
=<br />
� b<br />
a<br />
1 t2 − √ e 2 dt<br />
2π<br />
= P (Z ≤ b) − P (Z ≤ a)<br />
Tako da <strong>za</strong> X ∼ N(µ, σ 2 ) vrijedi<br />
P (a ≤ X ≤ b) = P (Z ≤<br />
b − µ<br />
σ<br />
)−P (Z ≤ a − µ<br />
σ<br />
− µ − µ<br />
) = Φ(b )−Φ(a<br />
σ σ ).