2. Two continuous random variables X and Y have joint probability density function I+3y f (z, y) = {² 0<1<1, 1< y< 2 {0 otherwise. a) Find Cov (X,Y). You must show all of your steps b) Are random variables X and Y independent? You must justify your answer.

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Author:Amos Gilat
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2. Two continuous random variables X and Y have joint probability density function
f (z, y) = { 0<x<1, 1< y < 2
{0
otherwise.
a)
Find Cov (X,Y). You must show all of your steps
b)
Are random variables X and Y independent? You must justify your answer.
Transcribed Image Text:2. Two continuous random variables X and Y have joint probability density function f (z, y) = { 0<x<1, 1< y < 2 {0 otherwise. a) Find Cov (X,Y). You must show all of your steps b) Are random variables X and Y independent? You must justify your answer.
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