Question: A marksman fires at the center of a target: he hits a random point (X, Y) (measured relative to the center of the target) such that X and Y are independent normal (0, α2) random variables A second marksman fires, and hits at (X', Y',) where X' and Y' are independent with normal (0, b2) distributions. What is the chance that the second marksman hits closer to the center of the target than the first marksman?