[See Steps] X and Y have joint density function f_x x(x, y)=(1+x y)/(4),|x|<1,|y|<1 ; zero, otherwise. Show that X, Y are not independent by showing they
Question: \(X\) and \(Y\) have joint density function \(f_{x x}(x, y)=\frac{1+x y}{4},|x|<1,|y|<1 ;\) zero, otherwise. Show that \(X\), \(Y\) are not independent by showing they are not uncorrelated. Prove or disprove that \(X^{2}\) and \(Y^{2}\) are independent.
Deliverable: Word Document 
![[Steps Shown] Show that if X(t) is](/images/solutions/MC-solution-library-72203.jpg "[Steps Shown] Show that if X(t) is a complex wss process, then")
[Steps Shown] Show that if X(t) is a complex wss process, then
(Steps Shown) Show that if X(t) is a wss process with derivative
![[Step-by-Step] Show that, if EX^2=EY^2=EX Y, then](/images/solutions/MC-solution-library-72205.jpg "[Step-by-Step] Show that, if EX^2=EY^2=EX Y, then X=Y in MS sense.")
[Step-by-Step] Show that, if EX^2=EY^2=EX Y, then X=Y in MS sense.
Solution: f_x x(x, y)=1 / π, x^2+y^2 ≤q 1; zero, otherwise.
![[See Solution] X and Y have joint](/images/solutions/MC-solution-library-72207.jpg "[See Solution] X and Y have joint density function f_x x(x, y)=lB")
[See Solution] X and Y have joint density function f_x x(x, y)=lB
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