For which values of i i 12 3 is the posterior probability, Basic Statistics

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For which values of i i 12 3 is the posterior probability

Consider again the conditions of Example 3 in this section, in which an item was selected at random from a batch of manufactured items and was found to be defective. For which values of i (i = 1,2, 3) is the posterior probability that the item was produced by machine M_j larger than the prior probability that the item was produced by machine M_i?

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