Given a random variable $x\sim N(\mu,\sigma)$
What is the distribution of its exponential transformation $y = e^x$?
2026-04-12 09:41:39.1775986899
Exponential transformation of a Gaussian random variable
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The distribution of $Y=e^X$ for $X\sim \mathcal{N}(\mu,\sigma^2)$ is called Log-normal and denoted as $Y\sim\mathcal{LN}(\mu,\sigma^2)$. See also here.