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Suppose That an Actual (Not Perfectly Reliable)credit Report Has the Following

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Suppose that an actual (not perfectly reliable)credit report has the following characteristics based on historical data; in cases where the customer did not default on the approved loan,the probability of receiving a favorable recommendation on the basis of the credit investigation was 80%,while in cases where the customer defaulted on the approved loan,the probability of receiving a favorable recommendation on the basis of the credit investigation was 25%.Given this information,what are the posterior probabilities that an earthquake will and will not occur,given the geologists predictions?

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