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Lastnosti verjetnosti 1. Za dogodka A in B velja: P(A ∪ B) = P(A) + P ...

Lastnosti verjetnosti 1. Za dogodka A in B velja: P(A ∪ B) = P(A) + P ...

Lastnosti verjetnosti 1. Za dogodka A in B velja: P(A ∪ B) = P(A) + P ...

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Verjetnost <strong>in</strong> statistika, FRI, 2006<br />

V Bernoullijevem zaporedju neodvisnih poskusov nas zanima,<br />

kolikšna je verjetnost, da se v n zaporednih poskusih zgodi dogodek<br />

A natanko k–krat.<br />

To se lahko zgodi na primer tako, da se najprej zgodi k–krat<br />

dogodek A <strong>in</strong> nato v preostalih (n − k) poskusih zgodi nasprotni<br />

dogodek A:<br />

P(<br />

k⋂<br />

(X i = A) ∩<br />

n⋂<br />

(X i = A)) =<br />

k∏<br />

P(A) ·<br />

n∏<br />

P(A) = p k · q n−k<br />

i=1<br />

i=k+1<br />

i=1<br />

i=k+1<br />

Aleksandar Jurišić 12

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