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 | | |
