I have a Lognormal distribution generated in the following way.
List of parameters set by me (the user):
- mean = 180
- median = 120
- truncation point = 1800
From this parameters we generate a NORMAL distribution:
$$Normal(\mu,\sigma)$$ where $\mu = ln(median)$ and $\sigma = \sqrt{2 \times ln (\frac{mean}{median})}$
Then, to generate the LOGNORMAL distribution we take the exponent value of the Normal distribution.
Now, i have the truncation point: I want to know if in my LogNormal distribution there is more than the 5% of data that are bigger then the truncation point. Is it possible?
Thank you