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, 29% contain one defective component, and 18% 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: _____
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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, 29% contain one defective component, and 18% 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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