Mathematics
Mathematics, 20.12.2019 05:31, icylaila

Aconstruction company employs two sales engineers. engineer 1 does the work in estimating the cost for 70% of the jobs bid by the company. engineer 2 does the work in estimating the cost for the remaining jobs bid by the company. it is known that the error rate for engineer 1 is such that 0.02 is the probability of error when he does the work, whereas the probability for error when engineer 2 does the work is 0.04. it is also known that when an error is made 1% of them can lead to legal problems. (a) draw the probability tree for this situation. (b) what is the probability that the company would have to face legal problems? (c) given that a bid arrives and an error occurs estimating the cost, what is the probability engineer 1 did the work?

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