4.2.31 Question Help ▼ Refer to the figure below in which surge protectors p and q are used to protect an expensive high-definition television. If there is a surge in the voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.97 probability of working correctly when a voltage surge occurs. Complete parts (a) through (c) below. D-P-9- TV TV Series Configuration Parallel Configuration a. If the two surge protectors are arranged in series, what is the probability that a voltage surge will not damage the television?

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### Understanding Series and Parallel Configurations in Surge Protectors

#### Problem 4.2.31

**Context:**

Refer to the figure below in which surge protectors p and q are used to protect an expensive high-definition television. If there is a surge in the voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.97 probability of working correctly when a voltage surge occurs. Complete parts (a) through (c) below.

---

**Figures:**

- **Series Configuration:**

  ```
  [p] ── [q] ── [TV]
  ```

- **Parallel Configuration:**

  ```
          ┌── [p] ──┐
  [TV] ──┼            ┼──
          └── [q] ───┘
  ```

---

**Question:**

**(a)** If the two surge protectors are arranged in series, what is the probability that a voltage surge will not damage the television?

- [ ] (Do not round.)

---

**Instructions:**

1. Enter your answer in the answer box and then click **Check Answer**.
2. Parts remaining: **2**

---

**Analysis of Figures:**

- In the **Series Configuration**, both surge protectors p and q are connected one after the other in a single line leading to the TV. For the TV to be protected, both surge protectors need to function correctly.
  
- In the **Parallel Configuration**, the surge protectors p and q are connected in parallel, providing two potential paths for the current. This means that if either surge protector functions correctly, the TV will be protected.

---

**Answer Entry Area:**

---

**Footer:**

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Transcribed Image Text:### Understanding Series and Parallel Configurations in Surge Protectors #### Problem 4.2.31 **Context:** Refer to the figure below in which surge protectors p and q are used to protect an expensive high-definition television. If there is a surge in the voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.97 probability of working correctly when a voltage surge occurs. Complete parts (a) through (c) below. --- **Figures:** - **Series Configuration:** ``` [p] ── [q] ── [TV] ``` - **Parallel Configuration:** ``` ┌── [p] ──┐ [TV] ──┼ ┼── └── [q] ───┘ ``` --- **Question:** **(a)** If the two surge protectors are arranged in series, what is the probability that a voltage surge will not damage the television? - [ ] (Do not round.) --- **Instructions:** 1. Enter your answer in the answer box and then click **Check Answer**. 2. Parts remaining: **2** --- **Analysis of Figures:** - In the **Series Configuration**, both surge protectors p and q are connected one after the other in a single line leading to the TV. For the TV to be protected, both surge protectors need to function correctly. - In the **Parallel Configuration**, the surge protectors p and q are connected in parallel, providing two potential paths for the current. This means that if either surge protector functions correctly, the TV will be protected. --- **Answer Entry Area:** --- **Footer:** - Provides options to **Clear All** and to navigate through questions.
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