Consider that we have in an industrial complex two large boxes, each of which contains 30 electrical components. It is known that the ?rst box contains 26 operable and 4 nonoperable components and that the second box contains 28 operable and 2 nonoperable components. Assume that the probability of making a selection from each of the boxes is the same.
(a) Find the probability that a component selected at random will be operable.
(b) Suppose the component chosen at random is operable. Find the probability that the component was chosen from box 1.