Exercise 1 Let X and Y are discrete random variables with a joint density function as follow ) = { ₁ ¡(x² + y), 0, f(x,y)=24 x = 0,1,2; y = 0,1,2 Otherwise 1) Find the value of Cov[X,Y]. 2) Find the value for both E(YIX = 1) and E(X|Y = 2).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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HW 2
Exercise 1
Let X and Y are discrete random variables with a joint density function as follow
= √2 + ( x ²
0,
f(x, y) = 24
(x² + y),
x = 0,1,2; y = 0,1,2
Otherwise
1)
Find the value of Cov[X,Y].
2) Find the value for both E(YIX 1) and E(XIY = 2).
Transcribed Image Text:HW 2 Exercise 1 Let X and Y are discrete random variables with a joint density function as follow = √2 + ( x ² 0, f(x, y) = 24 (x² + y), x = 0,1,2; y = 0,1,2 Otherwise 1) Find the value of Cov[X,Y]. 2) Find the value for both E(YIX 1) and E(XIY = 2).
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