The joint probability density function of X and Y is given by f(x,y)=begincasesc(x+y)& if 0le x,yle 1, 0& otherwise,endcases for some constant c. Which of the following statements is/are correct?

Q35Section B (Section B)35 of 60

A linear joint density on the unit square

The joint probability density function of $X$ and $Y$ is given by $f(x,y)=\begin{cases}c(x+y)& \text{if }0\le x,y\le 1,\ 0& \text{otherwise,}\end{cases}$ for some constant $c$ . 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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