Summary
Zusammenfassung Stochastik Gymnasium Bayern Oberstufe
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- Institution
Zusammenfassung über den Themenbereich Stochastik Gymnasium Bayern Oberstufe
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katharinaheuschneider
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Zufallsgröße × Tv → ✗ ( Tv ):
= eine Funktion , die
jedem Ereignis Tv ER eines Zufallexperimentes eine reelle Zahl zuordnet
Wahrscheinlichkeitsverteilung bzw .
-
funktion der Zufallsgröße ✗ → W :
✗i → P( ✗ = × ;)
Funktion , die
jedem Wert ) der Wahrscheinlichkeit P ( ✗ ) zuordnet
×; (i
Zufallsgröße ✗ die ✗i
=
= . .
n =
Stab
diagramm Histogramm
P( ✗ = ✗z ) P( ✗ = ✗ 2)
✗z ✗z
ist 1
Länge aller Stäbe + Summe der Flächeninhalte ist 1
Erwartungswert E (x) = × ;D ( ✗ %) + ×;D ( ✗ = = ✗ 2) + . . .
+✗ •
Pn ( ✗ = ✗n ) sowie E (x) =
µ
Zufallsgröße Wahrscheinlichkeit
Summe der mit den Wahrscheinlichkeiten
gewichteten Funktionswerte der Zufallsgröße
=
konnotative
Verteilungsfunktion
" "
„
konnotativ =
„
sich
aufhäufend steigend aufsummierend
, ,
Wie hoch ist die W, dass die höchste
typische Fragestellung :
×; erhalte ?
dass ich höchstens :P ( ✗ En ) P( ✗
bsp . : . . .
,
n € erhalte ? + = n )
dass ich mindestens n € erhalte ? :P ( ✗ = n ) + P( ✗ = n )
,
. . .
↳ P ( ✗ -4 > n ) =
F( x )
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