P(X) 0.2 1 0.25 2 0.2 3 0.35 Find the mean of this probability distribution. Round your answer to one decimal place.
P(X) 0.2 1 0.25 2 0.2 3 0.35 Find the mean of this probability distribution. Round your answer to one decimal place.
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
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8936f34-682b-4189-9ce8-a2b8785d4568%2F476e7d5d-2341-4649-9a78-c0e097392d02%2Fhz7ub8r_processed.png&w=3840&q=75)
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman