Components of a certain type are shipped to a supplier inbatches of ten. Suppose that 49% of all such batches contain nodefective components, 31% contain one defective component, and 20%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.
(b) One of the two tested components is defective.[Hint: Draw a tree diagram with three first-generationbranches for the three different types of batches.]
