Let X and Y be continuous random variables having the joint probability density function f(x,y)=begincasese^-x,&if 0le y<x<infty, 0,&otherwise.endcases Then which of the following statements is/are correct?

Q37Section B (Section B)37 of 60

Probabilities under an ordered exponential density

Let $X$ and $Y$ be continuous random variables having the joint probability density function $f(x,y)=\begin{cases}e^{-x},&\text{if }0\le y<x<\infty,\ 0,&\text{otherwise.}\end{cases}$ Then which of the following statements is/are correct?

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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