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Components of a certain type are shipped to a supplier in batches of ten. Suppose that 47% of all such batches contain no defective components,
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 47% of all such batches contain no defective components, 28% contain one defective component, and 25% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with D, 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 055326663 \\J/ one defective component 026368452 / two defective components 0.18304885 y (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 y X one defective component 0.44052863 two defective components 0.55947137 x
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