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

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Components of a certain type are shipped to a supplier inbatches of ten. Suppose that 51% of all such batches contain nodefective components, 33% contain one defective component, and 16%contain two defective components. Two components from a batch arerandomly selected and tested. What are the probabilities associatedwith 0, 1, and 2 defective components being in the batch under eachof the following conditions? (Round your answers to four decimalplaces.)

(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 atree diagram with three first-generation branches for the threedifferent types of batches.]

no defective components :

one defective component :

two defective components :

Answer & Explanation Solved by verified expert
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Let be the event that the batch has 0 defectives be the event the batch has 1 defective and be the event the batch has 2 defectives Let be the event that neither    See Answer
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