Need help with this please

A construction company employs three sales engineers. Engineers 1, 2, and 3 estimate the costs of 20%, 30%, and 50%, respectively, of all jobs bid on by the company. For i=1, 2, 3, define E, 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: P ( error|E, ) = 0.04, P ( error|Ez ) = 0.02, and P ( error|E3 ) =0.01. Complete parts a through d. 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? P(E, |error) = (Round to the nearest thousandth as needed.) b. If a particular bid results in a serious error in estimating job cost, what is the probability that the error was made by engineer 2? P(E2 |error) = (Round to the nearest thousandth as needed.) c. If a particular bid results in a serious error in estimating job cost, what is the probability that the error was made by engineer 3? P(Eglerror) = (Round to the nearest thousandth as needed.) d. Based on the probabilities, given in parts a-c which engineer is most likely responsible for making the serious error? Engineer (Type an integer.) Enter your answer in each of the answer boxes