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Calculate the mean (mu)  and variance (sigma squared) of the probability distribution

Calculate the mean (mu)  and variance (sigma squared) of the probability distribution

MATLAB: An Introduction with Applications
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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Calculate the mean (mu)  and variance (sigma squared) of the probability distribution 

The image contains a table related to probability and statistical measures. Below is a transcription of the table contents and a description: ### Table: | **X = xᵢ** | **Pr(X = xᵢ)** | **µ** | **σ²** | |------------|---------------|-------|-------| | -2 | 0.25 | -0.50 | | | -1 | 0.20 | -0.20 | | | 0 | 0.10 | 0 | | | 1 | 0.20 | 0.20 | | | 2 | 0.25 | 0.50 | | **Note:** The term "Valid!" is handwritten beneath the table. ### Explanation: - **X = xᵢ**: Represents the random variable X, where xᵢ are specific values the variable can take: -2, -1, 0, 1, 2. - **Pr(X = xᵢ)**: This column lists the probability of each value occurring. For example, the probability of X being -2 is 0.25, or 25%. - **µ**: This column shows the mean (µ) for the given probabilities. These are calculations of the expected value contribution for each xᵢ. - **σ²**: This section appears intended for the variance calculations but is left empty in the table. The table displays concepts in probability distribution and calculations of expected value, useful for understanding the basics of statistical analysis.
Transcribed Image Text:The image contains a table related to probability and statistical measures. Below is a transcription of the table contents and a description: ### Table: | **X = xᵢ** | **Pr(X = xᵢ)** | **µ** | **σ²** | |------------|---------------|-------|-------| | -2 | 0.25 | -0.50 | | | -1 | 0.20 | -0.20 | | | 0 | 0.10 | 0 | | | 1 | 0.20 | 0.20 | | | 2 | 0.25 | 0.50 | | **Note:** The term "Valid!" is handwritten beneath the table. ### Explanation: - **X = xᵢ**: Represents the random variable X, where xᵢ are specific values the variable can take: -2, -1, 0, 1, 2. - **Pr(X = xᵢ)**: This column lists the probability of each value occurring. For example, the probability of X being -2 is 0.25, or 25%. - **µ**: This column shows the mean (µ) for the given probabilities. These are calculations of the expected value contribution for each xᵢ. - **σ²**: This section appears intended for the variance calculations but is left empty in the table. The table displays concepts in probability distribution and calculations of expected value, useful for understanding the basics of statistical analysis.
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