It is amazing how fast Mathematica's knowledge base of special functions grew from the very beginning and how fast the knowledge of probability distributions grew from Mathematica 7 to 9 and that a growing number of properties ca be calculated. To calculate them will need to generate functions that are expressed by named mathematical functions - so everything is linked ....

But Wolfram|Alpha will go beyond. It wants to answer quantitative questions of any form - and consequently, thus includes probability distributions. And it is a goal to haven them completed and calculate a vast variety of properties.

To incorporate the complete list of probability distributions and properties into Wolfram|Alpha will happen in the near future. They will be represented for manipulation in an interactive Mathematica document called "

*The Ultimate Univariate Probability Distribution Explorer",*proving again how powerful Mathematica's document centered architecture in combination with its dynamic visualization is.

I again think of econometrics applications and econophysics approaches for better insight in, say quantitative finance and much more .....