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 $\ln x$ follows a normal distribution, $x$ itself is said to follow a lognormal distribution. This is because the lognormal distribution is defined as the distribution of a random variable whose logarithm is normally distributed.

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 $\sigma ^ { 2 }$