At the end of a production run manufacturing rubber gaskets,items are sampled at random and inspected to determine if the item is acceptable (A)or defective (D).Suppose it is planned to select two items and determine if each is either A or D.What is the sample space S of the outcomes?
A)S = {A or D}
B)S = {AA,DD}
C)S = {AA,AD,DA,DD}
D)This depends upon the assignment of probability to the outcomes of the sampling.
E)This can't be determined until the sample of two items has been collected.

Question

Quizplus · Accepted Answer

The sample space S consists of all possible outcomes of selecting two items from the production run, where each item can either be acceptable (A) or defective (D). Therefore, each item has two possible outcomes, and there are a total of four possible outcomes for two items. The sample space S is {AA, AD, DA, DD}.

At the End of a Production Run Manufacturing Rubber Gaskets,items