construction company employs two sales engineers. Engineer 1 does the work estimating cost for 30% of jobs bid by the company. Engineer 2 does the work for 70% of jobs bid by company. It is known that the error rate for engineer 1 is such that 0.04 is the probability of an error when he does the work, whereas the probability of an error in the work of engineer 2 is 0.02. Suppose a bid arrives and a serious error occurs in estimating cost. Which engineer would you guess did the work?

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