Question

A construction company employs three sales engineers. Engineers 1, 2 and 3 estimate the costs of 30%, 20%, and 50% respectievly, of all jobs bid by the company. For i=1,2,3, define Ei to be the event that a job is estimated by engineer i. The following probabilities describe the rates at which the engineers make serious errors in estimating costs

Answer 1

P(error|E1)=0.01
P(error}E2)=0.03
P(error|E3)=0.02

Answer 2

A) if a particular bid results in a serious error in estimating job cost, what is the probability that the error was made by engineer 1?