Question: Please use R coding monte Carlo integration. Please show all your R codes and outputs, and calculation workings and answers. 3) Monte Carlo integration using

Please use R coding monte Carlo integration. Please show all your R codes and outputs, and calculation workings and answers.

3) Monte Carlo integration using a Beta distribution Use Monte Carlo integration to estimate the integral I = eva dx with sample size n = 10, 000 by a) sampling from a Uniform(0,1) distribution b) sampling from a Beta(0.8, 1) distribution (rbeta() ) c) Calculate 99% confidence intervals based on a) and b) for the true value of the integral d) Which method a) or b) works better? Why

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