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The monte carlo method is also typically used to numerically compute an approximation of a quantity that is very hard or even impossible to compute like, e. g., integrals (in particular, integrals in very high write a python code to estimate the irrational number =3.1415926535897932384626433… based on the monte carlo method. specifically, recall that =∫1041βˆ’x2√ and generate a sequence ,… of independent, on [0,1] uniformly distributed random variables to perform your mc estimation. as in problem 1 above, plot your estimates for different numbers of simulations running from 1 to 1000. your plot should again illustrate how your estimate appears to converge to .

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