Question: Problems 1 (10 points) Importance sampling Devise and implement an importance sampler for estimate the expected value of a mixture of two beta distributions (e.g.,

Problems 1 (10 points) Importance sampling Devise and implement an importance

Problems 1 (10 points) Importance sampling Devise and implement an importance sampler for estimate the expected value of a mixture of two beta distributions (e.g., 0.3*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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