Question: 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

2. MONTE CARLO INTEGRATION (50 POINTS) (1) (25 points) Write a

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 -212 zy'dydz. 0 J0 (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)

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