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

Question

Quizplus · Accepted Answer

When the logarithm of a variable (in this case, $\ln x$) is normally distributed, the variable itself (in this case, $x$) is said to be lognormally distributed. This is the definition of a lognormal distribution.

If ln⁡x\ln xlnx Is Normally Distributed with Mean μ\muμ And Variance σ2\sigma ^ { 2 }σ2

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