Department of Public Work and Highways employs three consulting firms (D, E, and F) with probabilities 0.40, 0.35, and 0.25, respectively. From past experience it is known that the probability of cost overruns for the firms are 0.05, 0.03, and 0.15, respectively. Suppose a cost overrun is experienced by the agency. What is the probability that the consulting firm involved is company D?

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