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Consider the following simplified view of a jury weighing evidence (treat the jury as a single decision maker). A defendant in a court case is

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Consider the following simplified view of a jury weighing evidence (treat the jury as a single decision maker). A defendant in a court case is accused of committing a crime. Assume there is potentially one piece of relevant evidence, which is denoted by d. If the defendant is guilty, d is realized with probability po = 1/8. If the defendant is innocent, d is realized with probability p = 1/2

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