Components of a certain type are shipped to a supplier in batches of ten. Suppose that 53% of all such batches contain no defective components, 27% contain one defective component, and 20% 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 one defective component 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 one defective component two defective components
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- Probability of a batch containing no defective components: \( P(N) = 0.53 \) - Probability of a batch containing one defective component: \( P(1D) = 0.27 \) - Probability of a batch containing two defective components: \( P(2D) = 0.20 \) Show more…
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Components of a certain type are shipped to a supplier in batches of ten. Suppose that 48% of all such batches contain no defective components, 29% contain one defective component, and 23% 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: one defective component: 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: one defective component: two defective components :
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 49% of all such batches contain no defective components, 31% contain one defective component, and 20% 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. (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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