Some statistical researches
Create a simulation with graphics to convince yourself of the pointwise convergence of the empirical CDF(9A1) and Generate sample paths of jump processes(9A2)
History and derivation of the normal distribution
The various methods to generate, from a Uniform([0,1)), all the most important random variables (discrete and continuous).
Think and explain in your own words what is the role that probability plays in Statistics and the relation between the observed distribution and frequencies their theoretical counterparts.