Generate a 2000-sample collection of random numbers between 0 and 1, with a mean of 0.5.

This version of the sample will have a bimodal distribution (mostly high and low values), a little bit like the bottom left of Figure 4.2 (p.47) of Complex Adaptive Systems (by Miller and Page). Make a histogram of it. Then generate a second version of that 2000-sample collection, and take averages of pairs across these

versions. Make histogram of that (like the lower middle of Figure 4.2). Then generate 30 versions of the 2000-sample collection, and average across set of 30, and then make a histogram of that (like the bottom right of Figure 4.2). **You may need to shuffle (randperm) your vectors before averaging them.**

Histogramn-1 Histogram n = 2 Histogram n-30 70 60 50 10 16 12 10 0.05 0.25 0.45 0.65 0.85 more 0.05 0.25 0.45 0.65 0.85 more 0.05 0.25 0.45 0.65 0.85 more 6 40 35 30 60 15 30 10 10 10 0.05 0.25 0.45 0.65 0.85 more 0.05 0.25 0.45 0.65 0.85 more 0.05 0.25 0.45 0.65 0.85 more Bin Bin