0
Hallo zusammen,
ich bearbeite gerade eine Abiklausur aus dem Abi des letzten Jahres mit folgender Aufgabe:
![](data:image/png;base64,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)
folgende Werte erschließen sich mir daraus: n= 200 p=0,08 und k = kleiner/gleich 9
daraus ergibt sich: P(X kleiner/gleich 9)
Lösen würde ich die Aufgabe mit Bpd(9;200;0,08), das Ergebnis wäre P= 0,0191
Laut Lösung ist das Ergebnis P= 0,03737
auf dieses Ergebnis kommt man indem man Bcd(9;200;0,08) rechnet. Mir erschließt sich diese Rechnung nicht,weil Treffer von 1 bis 9 innerhalb der gesetzten Grenze liegen. Durch die Berechnung mit Bcd würde meines Wissens nach nur die Wahrscheinlichkeit für 9 Treffer berechnet werden.
Vermutlich habe ich irgendeinen Fehler beim Verständnis von Bcd und Bpd gemacht, kann mir da jemand helfen?
Viele Grüße
Philipp
ich bearbeite gerade eine Abiklausur aus dem Abi des letzten Jahres mit folgender Aufgabe:
folgende Werte erschließen sich mir daraus: n= 200 p=0,08 und k = kleiner/gleich 9
daraus ergibt sich: P(X kleiner/gleich 9)
Lösen würde ich die Aufgabe mit Bpd(9;200;0,08), das Ergebnis wäre P= 0,0191
Laut Lösung ist das Ergebnis P= 0,03737
auf dieses Ergebnis kommt man indem man Bcd(9;200;0,08) rechnet. Mir erschließt sich diese Rechnung nicht,weil Treffer von 1 bis 9 innerhalb der gesetzten Grenze liegen. Durch die Berechnung mit Bcd würde meines Wissens nach nur die Wahrscheinlichkeit für 9 Treffer berechnet werden.
Vermutlich habe ich irgendeinen Fehler beim Verständnis von Bcd und Bpd gemacht, kann mir da jemand helfen?
Viele Grüße
Philipp
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