Assignment:
Suppose that you are given a simple chain of length N beads, and in this chain you tie one knot in the centre. You perform an experiment 25 times in which each time you place the chain on a vibrating plate and measure how long it takes to unknot and you make a list of the un-knotting times as follows:
chain1 = {5.50, 8.10, 4.65, 4.03, 14.04, 9.94, 10.34, 3.47, 5.19,
8.54, 5.63, 5.53, 5.38, 3.44, 4.32, 12.69, 5.66, 2.34, 14.72, 5.07,
5.90, 6.60, 4.75, 5.59, 4.85}
From this we calculated the mean un-knotting time is: 6.6508, with standard deviation 3.2977.
How can you find the probability based on the data above of finding the knot still knotted (i.e., still "alive") at time t.
Provide complete and step by step solution for the question and show calculations and use formulas.