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In an audit Bill analyses 60% of the audit items and George analyses 40%. Bill's error rate is 5% and George's is 3%. Suppose an

In an audit Bill analyses 60% of the audit items and George analyses 40%. Bill's error rate is 5% and George's is 3%. Suppose an item is sampled at random.

a. What is the probability that it is in error (audited incorrectly)? b. If the chosen item is incorrect what is the probability that Bill is to blame?

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