2. MONTE CARLO INTEGRATION (50 POINTS) (1) (25 points) Write a well-documented MATLAB script where you use the Monte Carlo simulations to estimate the value of the integral ry dydr. 0 Jo (2) (25 points) Write a well-documented MATLAB script where you apply the anti- thetic variates method and check if your modification decreases the variance of the estimator (similarly to how it was done in class using the plot with two histograms) 2. MONTE CARLO INTEGRATION (50 POINTS) (1) (25 points) Write a well-documented MATLAB script where you use the Monte Carlo simulations to estimate the value of the integral ry dydr. 0 Jo (2) (25 points) Write a well-documented MATLAB script where you apply the anti- thetic variates method and check if your modification decreases the variance of the estimator (similarly to how it was done in class using the plot with two histograms)