Ten molecules start inside a cell. They are first observed outside the cell in the given second.
Molecule Time First Observed Outside
1 ........................................ 4
2 ........................................ 16
3 ........................................ 14
4 ........................................ 10
5 ........................................ 4
6 ........................................ 1
7 ........................................ 1
8 ........................................ 11
9 ........................................ 2
10 ........................................ 12
From the above set of data, estimate the probability that a molecule that is inside a cell leaves during a given second. Write a discrete-time dynamical system for the probability that the molecule is inside and find the probability it is inside after 3 seconds. How does this probability compare with the fraction of molecules that actually were inside at t = 3?