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Mathe Abitur Stochastik: Komplette Zusammenfassung (Übungen, Themen, etc.) $9.16   Add to cart

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Mathe Abitur Stochastik: Komplette Zusammenfassung (Übungen, Themen, etc.)

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Beschreibung: Diese umfassende Zusammenfassung deckt alle wichtigen Themen der Stochastik ab, die du in der 11. und 12. Klasse benötigst. Perfekt für die Abiturvorbereitung, bietet dir dieses Dokument eine klare und verständliche Darstellung komplexer mathematischer Konzepte und ihre Anwendunge...

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  • Yes
  • June 18, 2024
  • 57
  • 2023/2024
  • Summary
  • Secondary school
  • Gymnasium
  • 3
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,I Stochastik
.
29 8 23
. .




. Wahrscheinlichkeiten
1 berechnen -




mehrstufige Zufallsexperimente :




>
- Immer Tabelle




2xZMZ Zweimal Ziehen mit
zurücklegen" ei-Ergebnisse
ei wur Wa ru ~w & (Summel



↑ (eil 13123 3 (3)
2 1


=
" 3u 99 1




b) Ereignis E :


gleiche Farbe It =
Ewwirr]
P(t) =

" +
g =

g




3x z0z

1 2 3 S
&
4 67 S

ei SSS ssw sus wSS Sww use was war w




S 10 10

iz
5
↑ (xi) 10 1

42 53 es 6342 1
en

, S
4(sss) =


5g .


4 3 . =

42i4(ssw) =


g . =
, 4(sws) =

g .. 13=




↑ (Wss) =

4 5 = 14(ww g 4 3 42
. = . . =
, 4(wsu =19. .



3 2 :




42
1

Y 3 E
3 2
P(wws) =
4(www) "g
.



= .
= -

=
, 8 7 21



b) Ereignis E :
Zweite Kugel ist schwarz


E =

Esssissw , was ,
usw 3
10 425
5 10 3
P (E) = + + + -


42 63 .
9



Ereignis :
gezogene Kugeln haben
gleiche Farbe


E =
G5ss www] ,




1
S 1

P(t) =
42
t
21
=
6



1x
Ereignis :
gezogene Kugeln
mindestens schwarz



E =
Esss ,
sow , sus ,
was , sww ,
wow ,
was ,
4 (E) =
2 +
1 + +1 +
I :
Gegenereignis Die Form ist

P (2)
wichtig"
= 1 -


4(2) L : mind 1x schwarz



2
20
1 -
=



21
I :
Kein schwarz (nur weiß !

, Definition :


Die
Wahrscheinlichkeitsverteilung legt die Wahrscheinlichkeiten der


fest
Ergebnisse ei .
Dabei
gilt :




.
1 P(ei) = 1




2
. P(en) +(22) + +... + (en) = 1

-



Satz :
Pei)

Ä
Für Ereignis A Gegenereignis gilt ↑(1) P(A)
ein und sein = 1 -




↑ ↑
fadregeln fadmultiplikationsregel
? w www Im
Baumdiagramm ist die Wahrscheinlichkeit
3 w
wws


w *
W



S
wsw


WSS
eines Pfades
gleich dem Produkt der


5
↳ W wi
Wahrscheinlichkeiten auf den Teilstrecken
S sww

9 S
Y S
# sws
1


" 3 .
Ws
4(wwwl
su
des Pfades
. = .
=

zu
S
3 SSS




4
fadadditionsregel :




Die Wahrscheinlichkeit eines A Summe der diesem
Ereignisses ist
gleich die in




Ereignis enthaltenen
Ergebnisse .
P(B) =
4(sss) +
P(www)

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