Question

1. Suppose that three items are selected at random from a manufacturing process. Each item is inspected and classified defective, D, or nondetective, N. To list the elements of the sample space providing the most information, construct the tree diagram. Now, the various paths along the branches of the tree give the distinct sample points. Starting with the first path, we get the sample point DDD, indicating the possibility that all four items inspected are defective.

a. What is the sample space? b. Make tree diagram of (a)

Answer 1

a.

$$S=\{DDD, DDN, DND, DNN,$$

$$NDD,NDN,NND, NNN\}$$

b.