For the proprablility distribution table below: x² X 0 1 2 3 με 4 P(x) 0.26 0.2 0 = 0.22 0.15 Find the mean. Round to two decimal places. 0.17 Find the standard deviation. Round to three decimal places. xP(x) x² P(x)
For the proprablility distribution table below: x² X 0 1 2 3 με 4 P(x) 0.26 0.2 0 = 0.22 0.15 Find the mean. Round to two decimal places. 0.17 Find the standard deviation. Round to three decimal places. xP(x) x² P(x)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The image depicts a probability distribution table and prompts for calculating the mean and standard deviation. Below is a detailed transcription suitable for an educational website.
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### Probability Distribution Table
The table below represents a probability distribution with values of \(x\) and corresponding probabilities \(P(x)\). Additional columns are provided for calculations involving \(x^2\), \(xP(x)\), and \(x^2P(x)\).
| \(x\) | \(P(x)\) | \(x^2\) | \(xP(x)\) | \(x^2P(x)\) |
|-------|----------|--------|----------|------------|
| 0 | 0.26 | | | |
| 1 | 0.2 | | | |
| 2 | 0.22 | | | |
| 3 | 0.15 | | | |
| 4 | 0.17 | | | |
#### Instructions:
- **Find the mean (\( \mu \)).** Round your answer to two decimal places.
\(\mu = \_\_\_\)
- **Find the standard deviation (\( \sigma \)).** Round your answer to three decimal places.
\(\sigma = \_\_\_\)
Use the columns to calculate \(xP(x)\) and \(x^2P(x)\) as part of the process for finding the mean and standard deviation. This table helps in systematically analyzing discrete probability distributions and deriving statistical measures.
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This transcribed content provides a structured format suitable for educational purposes, guiding students to compute essential statistical measures from a given probability distribution.
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