I have the following problem that I think I know how to solve, but I don't see why the given choices are as they are:
Suppose X and Y are jointly continuous random variables with joint probability density function given by f(x, y) = 1/c, x > 0, y > 0, x^2 + y^2 ≤ 2; or 0 otherwise where c is a normalising constant which does not depend on x and y. What's the value of c?
What's the upper limit of the integrals? We integrate from 0 to what? 2?