Xx 0 1/6 1/6 1/6 1/6 1/6 0 0 Find Var(X), Var(Y), and the covariance and correlation of (X,Y). Determine Var(X + Y). Are X and Y independent? Comment on the relation between Var(X) + Var(Y) and Var(X + Y). 1 1/6 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 78E
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The joint p.f. of (X,Y) is given by: 

X
1
0 1 2
2
1/6
1/6 1/6 0
1/6 0 0
a. Find Var(X), Var(Y), and the covariance and correlation of (X,Y).
b. Determine Var(X + Y).
1/6 1/6
c. Are X and Y independent?
d. Comment on the relation between Var(X) + Var(Y) and Var(X + Y).
Transcribed Image Text:X 1 0 1 2 2 1/6 1/6 1/6 0 1/6 0 0 a. Find Var(X), Var(Y), and the covariance and correlation of (X,Y). b. Determine Var(X + Y). 1/6 1/6 c. Are X and Y independent? d. Comment on the relation between Var(X) + Var(Y) and Var(X + Y).
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