federal agency

[logistic_guy]

A certain federal agency employs three consulting firms (\(\displaystyle A\), \(\displaystyle B\), and \(\displaystyle C\)) with probabilities \(\displaystyle 0.40\), \(\displaystyle 0.35\), and \(\displaystyle 0.25\), respectively. From past experience it is known that the probability of cost overruns for the firms are \(\displaystyle 0.05\), \(\displaystyle 0.03\), and \(\displaystyle 0.15\), respectively. Suppose a cost overrun is experienced by the agency.

(a) What is the probability that the consulting firm involved is company \(\displaystyle C\)?
(b) What is the probability that it is company \(\displaystyle A\)?

 

[khansaheb]

A certain federal agency employs three consulting firms (\(\displaystyle A\), \(\displaystyle B\), and \(\displaystyle C\)) with probabilities \(\displaystyle 0.40\), \(\displaystyle 0.35\), and \(\displaystyle 0.25\), respectively. From past experience it is known that the probability of cost overruns for the firms are \(\displaystyle 0.05\), \(\displaystyle 0.03\), and \(\displaystyle 0.15\), respectively. Suppose a cost overrun is experienced by the agency.

(a) What is the probability that the consulting firm involved is company \(\displaystyle C\)?
(b) What is the probability that it is company \(\displaystyle A\)?

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