If $x$ is normally distributed with mean $\mu$ and variance $\sigma ^ { 2 }$ ,then $y = e ^ { x }$ is
A)Normally distributed.
B)Lognormally distributed.
C)Exponentially distributed.
D)None of the above.

Question

Quizplus · Accepted Answer

When a variable $x$ is normally distributed, the transformation $y = e^x$ results in a lognormally distributed variable $y$. This is because the logarithm of $y$, which is $x$, follows a normal distribution.

If xxx Is Normally Distributed with Mean μ\muμ And Variance σ2\sigma ^ { 2 }σ2

If $x$ Is Normally Distributed with Mean $\mu$ And Variance $\sigma ^ { 2 }$