Components of a certain type are shipped to a supplier inbatches of ten. Suppose that

Chapter 2, Problem 61

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Components of a certain type are shipped to a supplier inbatches of ten. Suppose that 50% of all such batches containno defective components, 30% contain one defective component,and 20% contain two defective components. Two componentsfrom a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defectivecomponents being in the batch under each of the followingconditions?a. Neither tested component is defective.b. One of the two tested components is defective. [Hint:Draw a tree diagram with three first-generation branchesfor the three different types of batches.]

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