Calculate the theoretical distribution of getting a particular azimuth between 0 and 360 when measuring, for example, the direction of a strike - assume that each result is equally likely (a uniform distribution between 0 and 360)
Perform a Monte Carlo simulation with $n=30$ trials.
Plot your theoretical and simulated results as a bar and histogram plot respectively.
Simulate a grain size distribution that is drawn from a log normal distribution with 1000 grains and a mean and standard deviation of 10 and 0.1 microns respectively.
Plot the distribution as a histogram (density set to True).
Calculate the mean, standard deviation, expectation and variance of the distribution.