Ononot — Let X \sim N(0, 1) and Y \sim N(0, 1) be independent standar

Distributionshard

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Let $X \sim N(0, 1)$ and $Y \sim N(0, 1)$ be independent standard normal random variables. What is the probability $P(X^2 + Y^2 \le r^2)$ for any $r > 0$ ?