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SOLVED: Let f(x) = (cos x)^2 for 0 < x < 2Ï€.(a) Graph the function f(x).(b) Use Monte Carlo integration with uniform[0, 2Ï€] sample size1,000,000 to find the area under f(x) on the range 0 < x <2Ï€, and to find a 95% confidence interval for the area.(c) Use trigonometry or calculus to find the same area exactly.Did the confidence interval cover the true value?(d) Write a function called rcos2 which generates random valuesfrom the density f(x)/k, 0 < x < 2Ï€, where k is the areafound in (c). The

SOLVED: Let f(x) = (cos x)^2 for 0 < x < 2Ï€.(a) Graph the function f(x).(b) Use Monte Carlo integration with uniform[0, 2Ï€] sample size1,000,000 to find the area under f(x) on the range 0 < x <2Ï€, and to find a 95% confidence interval for the area.(c) Use trigonometry or calculus to find the same area exactly.Did the confidence interval cover the true value?(d) Write a function called rcos2 which generates random valuesfrom the density f(x)/k, 0 < x < 2Ï€, where k is the areafound in (c). The

Use Monte Carlo Integration to estimate the area of a circle of... | Filo

Use Monte Carlo Integration to estimate the area of a circle of... | Filo

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PPT - a tutorial on Markov Chain Monte Carlo (MCMC) PowerPoint Presentation - ID:437800

PPT - a tutorial on Markov Chain Monte Carlo (MCMC) PowerPoint Presentation - ID:437800

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