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 :
