1
$\begingroup$

Let $x$ and $y$ be $2$ independent random vectors on the unit disk such that their joint density is just $\frac{1}{\pi}$. What is the probability that $x+y$ is less than $1$?

  • 1
    I suspect you mean that $x$ and $y$ are the *coordinates* of a *point* in the unit disk? However, in that case they're not independent. If you do mean vectors, how do you compare $x+y$ to $1$?2012-10-26
  • 0
    Are you sure they are not independent?2012-10-26

1 Answers 1