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Problems 1 Importance sampling Devise and implement an importance sampler for estimate the expected value of a mixture of two beta distributions (e.g., O.3*beta(5,2)+0.7*beta(2,8)). Use

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Problems 1 Importance sampling Devise and implement an importance sampler for estimate the expected value of a mixture of two beta distributions (e.g., O.3*beta(5,2)+0.7*beta(2,8)). Use the same sample to estimate the probability that this random variable is included in the interval [0.35, 0.55]

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