phyton

Write a script to verify numerically the central limit theorem (CLT) when you add exponentially distributed r.v. You answer must include: Your code. Graphical evidence showing that your output r.v. follow a Gaussian Distribution. What quantitative evidence can you provide to support that your results are I correct? Write a script to verify numerically that the interarrival times for a Poisson process are exponentially distributed. You answer must include: Your code. Graphical evidence showing that your output r.v. follow an exponential distribution What quantitative evidence can you provide to support that your results are correct? Write a script to verify numerically that a proportionate growth model yields a distribution of object sizes, which is log-normally distributed. You answer must include: O Your code. Graphical evidence showing that your output r.v. follow a log-normal distribution I What quantitative evidence can you provide to support that your results are correct? Write a script to verify numerically that the first return time distribution for a discrete random walk is a power-law. You answer must include: Your code. Graphical evidence showing that your output r.v. follow a power-law distribution. What quantitative evidence can you provide to support that your results are correct