1) a) Looking at the average distance of two points within a unit sqaure,

produce a table of ordered pairs n, dav , where n is the dimension of the "square"

(n = 2, for 2-d, n = 3 for 3-d) and dav is the average distance between the points

for that n dimensional space using the Monte Carlo Method for 10,000 points

per n. (Use 10,000 points to nd the average distance for the 3-d case, the 4-d

case, etc.) Make a table from n = 1 to n = 100.

b) Plot the result in a part a) using axis labels and a plot label.

c) Try to fit that plot/data to a function of n, so that this can be generalized

(approximately) for any n-d hypercube.

d) To test how well your fit works in part c), produce a table of the relative

error between your calcuated values in part a) and the fitted function. Plot this

table as well.

Ive gotten through A and B, and am having trouble figuring out what to do for part c-d. Any help is appreciated please post screenshots using MATHEMATICA.