3. Random variables X and Y have joint PDF S Ary 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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3. Random variables X and Y have joint PDF
S 4ry 0<x < 1,0 < y < 1
fx.x(r, y) = {
otherwise
a) What are E[X] and Var[X]?
b) What are E[Y] and Var[Y]?
c) What is Cov[X,Y]?
d) What is E[X +Y] ?
e) What is Var[X +Y] ?
Transcribed Image Text:3. Random variables X and Y have joint PDF S 4ry 0<x < 1,0 < y < 1 fx.x(r, y) = { otherwise a) What are E[X] and Var[X]? b) What are E[Y] and Var[Y]? c) What is Cov[X,Y]? d) What is E[X +Y] ? e) What is Var[X +Y] ?
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