[PS] Rework parts of tests section, more changes to come

2026-07-27 21:29:09 +02:00 · 2026-07-15 16:14:29 +02:00
parent 6a43f97126
commit e005c7608b
12 changed files with 59 additions and 26 deletions
@@ -5,7 +5,7 @@ $\E[\cX^2] = \sum_{x \in W} x^2 \cdot p_\cX(x)$ ($\cX$ diskret)

 \shortdefinition[Standardabweichung] $\sigma(\cX) = \sqrt{\V[\cX]}$

-\shortremark $\V[\cX] = \E[\cX^2] - \E[\cX]^2$
+\shortremark $\V[\cX] = \E[\cX^2] - \E[\cX]^2$ ($\V[\cX] \geq 0$ ist wahr)

 \shortexample $\cX$ determ. Z.V (= konst) mit Wert $a$, also $\cX = a1_\Omega$. Dann: $\E[\cX] = a \E[1_\Omega] = a \P[\Omega] = a$ und\\
 $\V[\cX] = \E[\cX^2] - \E[\cX]^2 = a^2\E[1_\Omega] - a^2 = 0$