A marksman fires at the center of a target he hits a random, Basic Statistics

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A marksman fires at the center of a target he hits a random

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?

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Basic Statistics: A marksman fires at the center of a target he hits a random

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