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Introduction to Bayesian data analysis 1) Let Yi be the number of successes in n = 10 independent trials where each trial results in a

Introduction to Bayesian data analysis

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1) Let Yi be the number of successes in n = 10 independent trials where each trial results in a success or failure, and II, the probability of success, remains constant over all trials. Suppose the 4 possible values of n are .20, .40, 60, and .80. We don't wish to favor any value over the others so we make them equally likely. We observe Y1 = 7. Find the posterior distribution by filling in the simplified table. II Prior likelihood Prior x Posterior likelihood Marginal P(Y1 = 7)

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