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 $y$ being lognormally distributed. 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 $\sigma ^ { 2 }$