. Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 30% contain one defective component, and 20% contain...

. Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all

such batches contain no defective components, 30% contain one defective component, and 20%

contain two defective components. Two components from a batch are randomly selected and

tested. What are the probabilities associated with 0, 1, and 2 defective components being in the

batch under each of the following conditions?

(a) Neither tested component is defective.

(b) One of the two tested components is defective.

[Hint: Draw a tree diagram with three first-generation branches for the three different types of

batches.]