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Chapter 7: Problem 4

List the simple events associated with each experiment. As part of a quality-control procedure, eight circuit boards are checked, and the number of defective boards is recorded.

Short Answer

Expert verified
The simple events associated with the experiment of checking eight circuit boards and recording the number of defective boards are: 1. \(E_1\): 0 defective boards. 2. \(E_2\): 1 defective board. 3. \(E_3\): 2 defective boards. 4. \(E_4\): 3 defective boards. 5. \(E_5\): 4 defective boards. 6. \(E_6\): 5 defective boards. 7. \(E_7\): 6 defective boards. 8. \(E_8\): 7 defective boards. 9. \(E_9\): 8 defective boards.

Step by step solution

01

Identify the range of possible outcomes

The experiment is related to checking a fixed number of circuit boards, which is 8. For each circuit board, there could be two possible outcomes, either defective or non-defective. Since we are interested in the number of defective boards, the range of possible outcomes will be from 0 (no defective boards) to 8 (all boards are defective).
02

List the simple events

Now, we'll list the simple events associated with the experiment: 1. \(E_1\): 0 defective boards. 2. \(E_2\): 1 defective board. 3. \(E_3\): 2 defective boards. 4. \(E_4\): 3 defective boards. 5. \(E_5\): 4 defective boards. 6. \(E_6\): 5 defective boards. 7. \(E_7\): 6 defective boards. 8. \(E_8\): 7 defective boards. 9. \(E_9\): 8 defective boards. These are the simple events associated with the given experiment. Each simple event \(E_i\) represents a possible outcome in terms of the number of defective circuit boards.

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