suppose $f(x,y) = cxy^2$ is the joint pdf of $X$ and $Y$. $0\le x\ ,\ y\le 2$.
Q1: what value must $c$ have for this to be a pdf?
Q2: what is the marginal distributions of $X$ and $Y$.
Q3: draw a graph of each marginal density function using $R$.
Can anyone please help with the third question? Also is the answer for Q1: $c= 3/16$? Q2: $fx(x)=1/(2x)$ $fy(y)=3/(8y^2)$?
Many thanks
