Let (X,Y) be a random vector with the joint probability density function f(x,y)=begincasesx,e^-x(y+1),&x0, y0,0,&otherwise.endcases Which of the following statements is/are true?

Q36Section B (Section B)36 of 60

Marginals of x exp(-x(y+1))

Let $(X,Y)$ be a random vector with the joint probability density function $f(x,y)=\begin{cases}x\,e^{-x(y+1)},&x>0, y>0,\\0,&\text{otherwise.}\end{cases}$ Which of the following statements is/are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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