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Statistik
book

Statistik

by Toni C. Stocker, Ingo Steinke
November 2016
Intermediate to advanced
303 pages
10h 25m
German
De Gruyter Oldenbourg
Content preview from Statistik

4Zufallsvariablen und Zufallsvektoren

Aufgabe 4.1

X sei eine diskrete Zufallsgrö ße, für die folgende Einzelwahrscheinlichkeiten bekannt seien: P(X = −2) = 0.3, P(X = 0) = 0.2, P(X = 1) = 0.1, P(X = 2) = 0.4.

(a)Geben Sie den Träger von X an.

(b)Bestimmen Sie P(−0.5 < X < 2).

(c)Bestimmen Sie die Wahrscheinlichkeit, dass X einen Wert kleiner oder gleich −1 annimmt.

(d)Stellt Abbildung 4.1 (a) die Wahrscheinlichkeitsfunktion zu X dar?

Abb. 4.1: Wahrscheinlichkeitsfunktion

Aufgabe 4.2

In Abbildung 4.1 (b) ist die Wahrscheinlichkeitsfunktion der Zufallsvariable X dargestellt.

(a)Bestimmen Sie P(X ≤ 2).

(b)Ist die Verteilung von X

(A)symmetrisch? ...

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Publisher Resources

ISBN: 9783110397338