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# Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50$\%$ of allsuch batches contain no defective components, 30$\%$ contain one defective component, and 20$\%$ of contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with $0,1,$ and 2 defective components being in the batch under each of the following conditions?(a) Neither tested component is defective.(b) One of the two tested components is defective.[Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]

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