What is true regarding normal and log-normal distributions:

A) Quantities following log-normal distributions have higher probabilities for outliers compared to normal distributions

B) Outliers significantly different from the mean are more common for the normally distributed variables compared to log normally distributed variables

C) Logarithm of the normally distributed quantity follow a log-normal distribution

D) Logarithm of the log-normally distributed quantity follows a normal distribution

E) Probability density function of the log-normally distributed variable equals to the logarithm of the probability density function of the normally distributed variable

Please explain the answer picked!