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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
![The image shows a table representing a probability distribution with two columns:
- **x**: The possible outcomes of a random variable.
- **P(x)**: The probability of each outcome.
The table is as follows:
| **x** | **P(x)** |
|-------|----------|
| 0 | 0.2 |
| 1 | 0.25 |
| 2 | 0.2 |
| 3 | 0.35 |
Below the table, the text reads: "Find the mean of this probability distribution. Round your answer to one decimal place."
There is a blank space provided for the answer.
To calculate the mean (expected value) of a probability distribution, use the formula:
\[ \text{Mean} = \sum (x \times P(x)) \]
Calculate:
\[ (0 \times 0.2) + (1 \times 0.25) + (2 \times 0.2) + (3 \times 0.35) \]
Round the final result to one decimal place.](https://content.bartleby.com/qna-images/question/f8936f34-682b-4189-9ce8-a2b8785d4568/476e7d5d-2341-4649-9a78-c0e097392d02/hz7ub8r_thumbnail.png)
Transcribed Image Text:The image shows a table representing a probability distribution with two columns:
- **x**: The possible outcomes of a random variable.
- **P(x)**: The probability of each outcome.
The table is as follows:
| **x** | **P(x)** |
|-------|----------|
| 0 | 0.2 |
| 1 | 0.25 |
| 2 | 0.2 |
| 3 | 0.35 |
Below the table, the text reads: "Find the mean of this probability distribution. Round your answer to one decimal place."
There is a blank space provided for the answer.
To calculate the mean (expected value) of a probability distribution, use the formula:
\[ \text{Mean} = \sum (x \times P(x)) \]
Calculate:
\[ (0 \times 0.2) + (1 \times 0.25) + (2 \times 0.2) + (3 \times 0.35) \]
Round the final result to one decimal place.
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