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In: Statistics and Probability

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

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 :

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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