X 0 1 2 3 P(X) 0.25 0.2 0.1 0.45 Find the mean of this probability distribution. Round your answer to one decimal place. Question Help: Message instructor Submit Question Jump to Answer
X 0 1 2 3 P(X) 0.25 0.2 0.1 0.45 Find the mean of this probability distribution. Round your answer to one decimal place. Question Help: Message instructor Submit Question Jump to Answer
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Probability Distribution Mean Calculation**
Below is a table of a discrete probability distribution:
| x | P(x) |
|---|------|
| 0 | 0.25 |
| 1 | 0.2 |
| 2 | 0.1 |
| 3 | 0.45 |
To find the mean (\(\mu\)) of this probability distribution, use the formula for the expected value:
\[
\mu = \sum [x \cdot P(x)]
\]
**Steps to Calculate:**
1. Multiply each value of \(x\) by its corresponding probability \(P(x)\).
- \(0 \times 0.25 = 0\)
- \(1 \times 0.2 = 0.2\)
- \(2 \times 0.1 = 0.2\)
- \(3 \times 0.45 = 1.35\)
2. Add these results:
\[
\mu = 0 + 0.2 + 0.2 + 1.35 = 1.75
\]
3. The mean of the probability distribution is 1.8 when rounded to one decimal place.
**Instructions:**
- Find the mean of this probability distribution. Round your answer to one decimal place.
- Use the submission feature to enter your result.
**Tools Available:**
- **Question Help**: Message instructor for assistance.
- **Submit Question**: Submit your calculated answer.
- **Jump to Answer**: View the provided answer after attempting.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F634845f0-1267-4369-8c1c-17e520d5439c%2F79c3f7ab-8e97-4e07-9656-36d254dbaa96%2Ft9jahme_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Mean Calculation**
Below is a table of a discrete probability distribution:
| x | P(x) |
|---|------|
| 0 | 0.25 |
| 1 | 0.2 |
| 2 | 0.1 |
| 3 | 0.45 |
To find the mean (\(\mu\)) of this probability distribution, use the formula for the expected value:
\[
\mu = \sum [x \cdot P(x)]
\]
**Steps to Calculate:**
1. Multiply each value of \(x\) by its corresponding probability \(P(x)\).
- \(0 \times 0.25 = 0\)
- \(1 \times 0.2 = 0.2\)
- \(2 \times 0.1 = 0.2\)
- \(3 \times 0.45 = 1.35\)
2. Add these results:
\[
\mu = 0 + 0.2 + 0.2 + 1.35 = 1.75
\]
3. The mean of the probability distribution is 1.8 when rounded to one decimal place.
**Instructions:**
- Find the mean of this probability distribution. Round your answer to one decimal place.
- Use the submission feature to enter your result.
**Tools Available:**
- **Question Help**: Message instructor for assistance.
- **Submit Question**: Submit your calculated answer.
- **Jump to Answer**: View the provided answer after attempting.
Expert Solution
Step 1: Information given is
| x | P(x) |
| 0 | 0.25 |
| 1 | 0.2 |
| 2 | 0.1 |
| 3 | 0.45 |
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