minimal code for part 1.

main.py

@@ -0,0 +1,23 @@
+import numpy as np
+import scipy as scp
+
+from matplotlib import pyplot as plt
+
+from RubberBand import RubberBand
+
+NUM_BANDS = int(1E5)
+N = 100
+
+length_dist = np.zeros((NUM_BANDS,))
+for i in range(NUM_BANDS):
+    band = RubberBand(N, a=1)
+    length_dist[i] = band.length/band.a
+
+P_true = lambda N, L: scp.special.binom(N, (L+N)/2) / 2**N
+L_norm = np.linspace(-N, N, 100) # normalised (no Link length a) range
+
+plt.plot(L_norm, P_true(N, L_norm))
+plt.hist(length_dist, range=(-N, N), bins=N, density=True)
+plt.xlabel("$L/a$")
+plt.ylabel("P($L/a$)")
+plt.show()