Let the joint probability density function of the random variables 𝑋 and 𝑌 be
\(f(x,y) = \begin{cases} 1, & \quad 0<x<1,\,\,\,\,x<y<x+1\\ 0,& \quad \ \text{ Otherwise} \end{cases}\)
Let the marginal density of 𝑋 and 𝑌 be 𝑓𝑋(𝑥) and 𝑓𝑌 (𝑦), respectively. Which of the following is/are CORRECT?