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Components of a certain type are shipped to a supplier in batches of ten. Suppose that 52% of all such batches contain no defective components,

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Components of a certain type are shipped to a supplier in batches of ten. Suppose that 52% of all such batches contain no defective components, 31% contain one defective component, and 17% 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? (Round your answers to four decimal places.) (a) Neither tested component is defective. no defective components 0.2704 x one defective component 0.3224 x two defective components (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.] no defective components ~ 0.3224 x one defective component 0.3704 x two defective components 01054 x

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