Description
Question 4.1: Exploring Distributions
Distributions are e ectively de ned by type and parameters. This assignment focuses on exploring both in visual manner. You are supposed to produce histograms for generated random values from a given distribution type with certain parameters.
Create a separate PDF les (not the probability density function) for a normal, exponential, binomial, Poisson distribution and another type you choose. For each type: Explore two parameters that you select with respect to the type (which might also be the sample size (n) which is not a classical parameter); decide on reasonable values for both parameters; generate corresponding random values; and explore the generated values visually in a two-dimensional grid of histograms with respect to the parameters. We added an example for the gamma distribution in that you have a visual impression of a correct grid of histograms.
Some hints on how to produce such grids are the following (but you will de nitely need some additional google searches):
In R, you can arrange such grid by, e.g., par(mfcol = c(4,4)) for a 4×4 grid. Hereafter, you can ll the
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plots using the basic plotting machinery.
In Python, you can use fig, ax = plt.subplots(nrows=4, ncols=4), iterate the axis and use it in the plotting machinery.
You can also increase the dimensions (you are not limited to 4×4 plots). In some case, it may also help to adjust the x and y limits of the plot to better show the di erences between values for parameters.
Please submit the 5 PDF les and the code for producing them.
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