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

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Basic Math

Components of a certain type are shipped to a supplier inbatches of ten. Suppose that 50% of all such batches contain nodefective components, 32% contain one defective component, and 18%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 a tree diagram with three first-generation branches for thethree different types of batches.]

no defective components    
one defective component    
two defective components    

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