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4. Use the normal distribution N(2, 1) as the trial distribution g(x) to estimate the integral 5 a =/ exp [0.5(1: 2)2 0.1| sin2x|]da: 0

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4. Use the normal distribution N(2, 1) as the trial distribution g(x) to estimate the integral 5 a =/ exp [0.5(1: 2)2 0.1| sin2x|]da: 0 by importance sampling. Generate 1000 samples to estimate {It and compute its standard deviation. (You can use functions provided by R or Matlab or any other software to generate normal random variables.)

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