Erwartungswert + Standardabweichung-Binomialvert.

Wiederholung zur Definition des Erwartungswertes
[img]data:image/png;base64,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[/img]
Zufallsexperiment zur Wiederholung der Berechnung des Erwartungswertes beim Glücksspiel
Mit dem folgenden Applet kannst du die Berechnung des Erwartungswertes und die Betrachtung der zugehörigen Wahrscheinlichkeitsverteilung wiederholen.[br]Führe dazu einige Spiele am Glücksrad durch. Notiere mindestens ein Beispiel in deinem Heft.[br]([i]Noch ein bisschen Wiederholung: Beachte dabei, dass die oberste Tabelle die absoluten Häufigkeiten für die einzelnen Felder des Glücksrades angibt. Die relative Häufigkeit, die man daraus berechnen kann, weicht von der (theoretischen) Wahrscheinlichkeit, die beim Anklicken des Feldes Wahrscheinlichkeit erscheint, ab. Je größer man aber n wählt umso mehr stimmen die relative Häufigkeit und die Wahrscheinlichkeit überein. [color=#0000ff]Das bestätigt noch einmal das "Empirische Gesetz der großen Zahlen.)[/color])[/i]
Applet zur Wiederholung des Erwartungswertes für eine Wahrscheinlichkeitsverteilung zum Zufallsexperiment "Glücksrad"
[size=150][size=200]Die Binomialverteilung und die Berechnung des Erwartungswertes und der Standardabweichung.[/size][/size]
Erwartungswert bei der Binomialverteilung
Schau dir zur Berechnung des Erwartungswertes für eine Binomialverteilung nun das folgende Video an. Mache dir vorher noch einmal den Unterschied zwischen der Wahrscheinlichkeitsverteilung zum obigen Glücksrad und der Binomialverteilung klar. Wichtig ist, dass die Binomialverteilung auf dem Bernoulli-Experiment beruht, bei dem es nur zwei Ergebnisse "Treffer oder Nichttreffer" gibt, wobei die Trefferwahrscheinlichkeit p immer gleich sein muss.[br][br]Notiere die Formel und das Beispiel in deinem Heft.
Erwartungswert bei der Binomialverteilung
Aufgabe 1
Beim Elfmeterschießen ist die Trefferwahrscheinlichkeit 80%. Berechne den Erwartungswert, wenn zehnmal geschossen wird. Nutze das Applet zur Überprüfung.
Aufgabe 2
Bearbeite im Buch die Aufgabe Seite 90/2. Berechne bei 2a) nur den Erwartungswert. Standardabweichung und Varianz berechnen wir dann weiter unten.[br]Die Lösungen für n=10 und n=20 kannst du mit dem Applet überprüfen.[br]Zur Überprüfung kannst du die Lösungen mit Semikolon getrennt in das Antwortfeld schreiben.
Aufgabe 3
Bearbeite im Buch die Aufgabe Seite 90/3. Berechne bei 3a) nur den Erwartungswert. Standardabweichung und Varianz berechnen wir dann weiter unten. Wiederhole für 2b) das Ablesen aus der Tabelle.[br]Die Lösungen kannst du mit dem Applet überprüfen.[br]Zur Überprüfung kannst du die Lösungen mit Semikolon getrennt auch in das Antwortfeld schreiben.
Wiederholung zur Definition der Standardabweichung.
[img]data:image/png;base64,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[/img]
Video zur Standardabweichung
Schau dir für die Berechnung der Standardabweichung für die Binomialverteilung nun das folgende Video an. Achte vor allem auch noch einmal auf die Erklärungen zur Bedeutung der Standardabweichung im Zusammenhang mit der Wahrscheinlichkeit 68%.
Aufgabe 4
Berechne im Buch für die Aufgabe Seite 90/2a) nun noch die Standardabweichung und die Varianz.[br]Die Lösungen für n=10 und n=20 kannst du für die Standardabweichung mit dem Applet überprüfen.[br]Zur Überprüfung kannst du die Lösungen mit Semikolon getrennt in das Antwortfeld schreiben.
Standardabweichung bei der Binomialverteilung
Aufgabe 4
Berechne im Buch für die Aufgabe Seite 90/2a) nun noch die Standardabweichung und die Varianz.[br]Die Lösungen für n=10 und n=20 kannst du für die Standardabweichung mit dem Applet überprüfen.[br]Zur Überprüfung kannst du die Lösungen mit Semikolon getrennt in das Antwortfeld schreiben.
Aufgabe 4
Berechne im Buch für die Aufgabe Seite 90/2a) nun noch die Standardabweichung und die Varianz.[br]Die Lösungen für n=10 und n=20 kannst du für die Standardabweichung mit dem Applet überprüfen.[br]Zur Überprüfung kannst du die Lösungen mit Semikolon getrennt in das Antwortfeld schreiben.
Aufgabe 5
Berechne im Buch für die Aufgabe Seite 90/3a) nun noch die Standardabweichung und die Varianz.[br]Die Lösungen kannst du mit dem Applet überprüfen.[br]Zur Überprüfung kannst du die Lösungen mit Semikolon getrennt auch in das Antwortfeld schreiben.
Aufgabe 6
Löse die Aufgabe Seite 91/6. Bei b) rechnerische Lösung mit der Binomialverteilung.[br]Die Lösung von b) kannst du mit dem Applet (Einstellungsmöglichkeit n=100) des Geogebra-Arbeitsblattes zur Binomialverteilung, Tabelle und kumulativen Verteilungsfunktion überprüfen.
Close

Information: Erwartungswert + Standardabweichung-Binomialvert.