Question: Consider that we have in an industrial complex two large boxes, each of which contains 30 electrical components. It is known that the first box

Consider that we have in an industrial complex two large boxes, each of which contains 30 electrical components. It is known that the first box contains 26 operable and 4 non-operable components and that the second box contains 28 operable and 2 non-operable 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.

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