Question: Use Monte Carlo to estimate the integral 0 = (32 (3x - 2x-10)dx. Perform this calculation m = 1000 times each for Monte Carlo

Use Monte Carlo to estimate the integral 0 = (32 (3x - 2x-10)dx. Perform this calculation m = 1000 times each for Monte Carlo sample sizes of n = 1000, n 10,000, and n 100,000. For each n, plot a histogram of (n)1,...,(n)m: and calculate the mean squared error of the estimate, m 1 MSE (n) ((n)i-00), m where (n); is the ith MC estimate of 0 for sample size n, and 80 is the true value of the integral 0.

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