Find the mean. Do not round your answer. Mean: μ= X

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Trivia Quiz**

The probabilities that a player will get 6–11 questions right on a trivia quiz are shown below.

| \( X \)   | 6   | 7   | 8   | 9   | 10  | 11  |
|-----------|-----|-----|-----|-----|-----|-----|
| \( P(X) \) | 0.05 | 0.2 | 0.4 | 0.1 | 0.15 | 0.1 |

**Explanation:**

This table displays the probabilities associated with a player correctly answering a specific number of questions on a trivia quiz. The row labeled \( X \) represents the number of questions answered correctly, ranging from 6 to 11. The row labeled \( P(X) \) provides the probability of each outcome.

For example, the probability of a player answering exactly 8 questions correctly is 0.4.

**Interactive Section:**

- **Send data to Excel:** Click this button to export the probability data into an Excel file for further analysis.

**Task:**

- **Part 1 of 3:**
  - **Find the mean.** Do not round your answer.
    - **Mean: \( \mu = \square \)**

Use this section to calculate the expected value (mean) of the number of questions answered correctly based on the given probabilities.
Transcribed Image Text:**Trivia Quiz** The probabilities that a player will get 6–11 questions right on a trivia quiz are shown below. | \( X \) | 6 | 7 | 8 | 9 | 10 | 11 | |-----------|-----|-----|-----|-----|-----|-----| | \( P(X) \) | 0.05 | 0.2 | 0.4 | 0.1 | 0.15 | 0.1 | **Explanation:** This table displays the probabilities associated with a player correctly answering a specific number of questions on a trivia quiz. The row labeled \( X \) represents the number of questions answered correctly, ranging from 6 to 11. The row labeled \( P(X) \) provides the probability of each outcome. For example, the probability of a player answering exactly 8 questions correctly is 0.4. **Interactive Section:** - **Send data to Excel:** Click this button to export the probability data into an Excel file for further analysis. **Task:** - **Part 1 of 3:** - **Find the mean.** Do not round your answer. - **Mean: \( \mu = \square \)** Use this section to calculate the expected value (mean) of the number of questions answered correctly based on the given probabilities.
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