(Solution Library) Let X and Y be continuous random variables with a joint pdf of the form: f(x,y)= k(x+y) for 0≤ x≤ y≤ 1 , 0 otherwise , What
Question: Let X and Y be continuous random variables with a joint pdf of the form:
\(f\left( x,y \right)=\left\{ \begin{aligned} & k\left( x+y \right)\text{ for }0\le x\le y\le 1 \\ & 0\text{ otherwise} \\ \end{aligned} \right.\)- What value of \(k\) makes \(f\left( x,y \right)\) a joint pdf? (2 points)
- Find the marginals \({{f}_{X}}\left( x \right)\) and \({{f}_{Y}}\left( y \right)\). (2 points)
- Find the joint CDF, \(F\left( x,y \right)\). (6 points)
- Find the conditional pdf \(f\left( y|x \right)\). (5 points)
- Find the conditional pdf \(f\left( x|y \right)\). (5 points).
Deliverable: Word Document 
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![[Solution Library] Find out what jointly Gaussian](/images/solutions/MC-solution-library-77080.jpg "[Solution Library] Find out what jointly Gaussian density is and plot")
[Solution Library] Find out what jointly Gaussian density is and plot
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