Question: 5. (20 marks total) (Monte Carlo integration). Given the integral ry dydr, (a). (10 marks) Write a well-documented MATLAB script where you use the Monte

5. (20 marks total) (Monte Carlo integration). Given the integral ry dydr, (a). (10 marks) Write a well-documented MATLAB script where you use the Monte Carlo simulations to estimate the integral (b. (10 marks) Write a well-documented MATLAB script where you apply the antithetic variates method. Run both MATLAB codes with the number of simulations, N = 100, 500, 2000, 3000, compare the results and make your observations

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