Question * Let X and Y be two continuous random variables with joint probability density function given by: f(x, y) = {8xy, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Question *
Let X and Y be two continuous random variables with joint probability density function
given by:
f(x, y) = {8xy, 0<x<y<1
0,
%3D
elsewhere
Let cov(X,Y) = var(X) = and h(y) = {4y", 0<y3i
elsewhere
45
45
0,
Then the value of var(2X +2Y) is equal to:
82/75
424/225
None of the other options
68/75
Transcribed Image Text:Question * Let X and Y be two continuous random variables with joint probability density function given by: f(x, y) = {8xy, 0<x<y<1 0, %3D elsewhere Let cov(X,Y) = var(X) = and h(y) = {4y", 0<y3i elsewhere 45 45 0, Then the value of var(2X +2Y) is equal to: 82/75 424/225 None of the other options 68/75
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