[Steps Shown] Take two Gaussian RVs X and Y generated from part 1 or 2 and run simulations using the simple random generator to show with plots and histograms
Question: Take two Gaussian RVs X and Y generated from part 1 or 2 and run simulations using the simple random generator to show with plots and histograms that \(Z=\sqrt{{{X}^{2}}+{{Y}^{2}}}\) is Rayleigh distributed.
Deliverable: Word Document 
(See Solution) The joint p.d.f. of the random variables X and
(Step-by-Step) Suppose the density function of X is an even function.
![[See Solution] Suppose X and Y are](/images/solutions/MC-solution-library-72196.jpg "[See Solution] Suppose X and Y are independent normal random variables.")
[See Solution] Suppose X and Y are independent normal random variables.
![[Step-by-Step] X and Y are i.i.d. with](/images/solutions/MC-solution-library-72197.jpg "[Step-by-Step] X and Y are i.i.d. with exponential densities f_X(x)=e^-xu(x)")
[Step-by-Step] X and Y are i.i.d. with exponential densities f_X(x)=e^-xu(x)
(Steps Shown) Prove that for any X , Y real or complex, | E(XY) |^2≤
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