Modelling theory and uncertainty Questions

Models and systems:

1. What are the Main steps in modelling process
2. Explain the Main modelling paradigms
3. What is the difference between a model and a modelling system

"Uncertainty Analysis" part:

1. What are pdf, CDF?
2. What are the quantiles (percentiles) of a probability distribution?
3. Write down the formula of the Gaussian (normal) probability distribution, and of some other distribution you know
4. What distributions (pdf) would you suggest to use to represent uncertainty of hydrological parameters?
5. Write down the formula of standard deviation, variance, mean of a data set {x1, ... xn}
6. What is the probability of independent (and dependent) random events You are given a set {x1, ... xn} of n=10 real values. Build a frequency diagram of this data set