5. [13 pts) Suppose in a lot of 10 machine components 4 are defective. An inspector randomly selects a component and tests whether it is defective or not. Suppose the inspector checks 3 components successively [he does not replace the component after checking]. Answer the following questions a} (5 ptsl What is the probability that he finds at least one defective item in his tests? b] [4 pts) What is the probability that the third component he tested is defective given the first two were not defective? c) [4 ptsl What is the probability that the third component he tested is defective, given that one of the first two components was defective and the other one was not