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In: Statistics and Probability

Suppose that the proportion θ of defective items in a large shipment is unknown, and that...

Suppose that the proportion θ of defective items in a large shipment is unknown, and that the prior distribution of θ is a beta distribution for which the parameters are α = 2 and β = 200. If 100 items are selected at random from the shipment and if three of these items are found to be defective, what is the posterior distribution of θ?

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