Let $X\sim \mathcal{N}(6,1)$ and $Y\sim\mathcal{N}(7,1)$ be two independent normal variables. Find $Pr(X>Y)$. the answer is $0.2389$ but I do not know how to do it.
2026-05-06 10:03:23.1778061803
Probability question of independent random varaibles
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Hint: what is the distribution of $Y-X$ ? (1,1)