Python Exercise [10 points total]. Submit two files: 1. explanations, graphics (if any) and results in PDF format with your Python code, and 2. Python Code itself in ipynb (or .py) format. Group work policy: You can discuss the problem together with your friends but you have to submit your own work (PDF and Python codes). 1. (a) Simulate a branching process in (4), and estimate the probability of extinction by the second generation. [3 points]. Compare it with the results in (4) [2 points]. 2. (a) Simulate the total progeny (see the above problems (7) and (8)) for a branching process whose offspring distribution is Poisson with parameter -0.6. [ 3 points] (b) Estimate the mean and variance of the total progeny distribution. [2 points] Python Exercise [10 points total]. Submit two files: 1. explanations, graphics (if any) and results in PDF format with your Python code, and 2. Python Code itself in ipynb (or .py) format. Group work policy: You can discuss the problem together with your friends but you have to submit your own work (PDF and Python codes). 1. (a) Simulate a branching process in (4), and estimate the probability of extinction by the second generation. [3 points]. Compare it with the results in (4) [2 points]. 2. (a) Simulate the total progeny (see the above problems (7) and (8)) for a branching process whose offspring distribution is Poisson with parameter -0.6. [ 3 points] (b) Estimate the mean and variance of the total progeny distribution. [2 points]