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please solve using Baye's rule. 1. Consider the following simplified view of a jury weighing evidence (treat the jury as a single decision maker). A

please solve using Baye's rule.

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1. 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. Independent of guilt (G) or innocence (I), with probability 3/4, the defen- dant possesses evidence. This evidence is in the set {d1, d2, d3}. When he possesses evidence, the probability of which document it is depends on whether he is guilty or innocent. We denote the probabilities with which d, is realized, conditional on I or G. respectively, (and conditional on evidence being realized) by pr and pci. Suppose those are given by pra = 3/8, pr2 = 3/8, pm = 1/4, PG3 = 1/8, PG2 = 1/8, and PG1 = 3/4. Assume the prior is 1/2. Suppose that the jury believes that both guilty and innocent types of the defendant do not disclose di, but both do disclose d2 and da. What is the jury's posterior belief that the defendant is innocent when it observes no document disclosed

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