[Solved]-Q3 Using Mc Method Compute Integral J D One May First Rewrite T 00g X Dx 1 Density Integra Q37211229

Please use R programming language to solve.
Q3. Using MC method to compute integral J*()d, one may first rewrite the t +00g(x)dx = 1 is the density integral into 响[I(x)da, where, g(x)2 0 satisfying function of some probability distribution of convenience; then draw a random sample (n i from the probability distribution and compute the sample mean of i Since the integra()d the population mean of the random variable under the probability distribution, with the sample size n being sufficiently large, f(x) g(X) the sample mean yields a quite accurate estimation of the integral. MC method for evaluation of the integral works if the population mean exists. i.e., E R引< +00 Use MC method to compute 0 2e2 cos adz. (Set sample size n 10,000 and random seed 268) Show transcribed image text Q3. Using MC method to compute integral J*()d, one may first rewrite the t +00g(x)dx = 1 is the density integral into 响[I(x)da, where, g(x)2 0 satisfying function of some probability distribution of convenience; then draw a random sample (n i from the probability distribution and compute the sample mean of i Since the integra()d the population mean of the random variable under the probability distribution, with the sample size n being sufficiently large, f(x) g(X) the sample mean yields a quite accurate estimation of the integral. MC method for evaluation of the integral works if the population mean exists. i.e., E R引

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Answer to Q3. Using MC method to compute integral J*()d, one may first rewrite the t +00g(x)dx = 1 is the density integral into �… . . .