I need to generate random numbers with following properties.
Min should be 200
Max should be 20000
Average(mean) is 500.
Optional: 75th percentile to be 5000
Definitely it is not uniform distribution, nor gaussian. I need to give some left skewness.
Java Random probably won't work because it only gives you normal(gaussian) distributions.
What you're probably looking for is an f distribution (see below). You can probably use the distlib library here and choose the f distribution. You can use the random method to get your random number.