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Slika - Shrani.si

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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 151<br />

✬<br />

✫<br />

Bernoullijev zakon velikih ˇstevil<br />

IZREK 1 (J. Bernoulli, 1713) Naj bo k frekvenca dogodka A v n neodvisnih<br />

ponovitvah danega poskusa, v katerem ima dogodek A verjetnost p.<br />

Tedaj za vsak ε > 0 velja<br />

lim<br />

n→∞ P<br />

<br />

k<br />

n<br />

<br />

<br />

− p<br />

<br />

<br />

< ε<br />

= 1.<br />

Ta izrek opravičuje statistično definicijo verjetnosti.<br />

Univerza v Ljubljani ▲<br />

❙ ▲<br />

▲<br />

▲<br />

● ❙ ▲<br />

▲<br />

☛ ✖<br />

✩<br />

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