### Variance of a Random VariableBelow is a table listing the probabilities and corresponding scores for a random variable:| Probability | Scores ||-------------|--------|| 0.25 | 0 || 0.05 | 2 || 0.4 | 6 || 0.1 | 11 || 0.15 | 12 || 0.05 | 14 |To calculate the variance of the given random variable, you can use the following formula:\[ \text{Variance} (\sigma^2) = \sum (P(x) \times (x - \mu)^2 ) \]Where:- $ P(x) $ is the probability of the random variable $ x $.- $ \mu $ is the expected value (mean) of the random variable.First, calculate the expected value ($\mu$):\[ \mu = \sum (P(x) \times x) \]Then, use the expected value to find the variance.**Task:**Find the variance of the above random variable.**Note:** The above is intended for educational purposes to understand the concept and calculation of variance in probability and statistics.

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Description: ### Variance of a Random VariableBelow is a table listing the probabilities and corresponding scores for a random variable:| Probability | Scores ||-------------|--------|| 0.25 | 0 || 0.05 | 2 || 0.4 | 6 || 0.1

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Answered: Probability Scores 0.25 0.05 2 0.4 6…

Math

Statistics

Probability Scores 0.25 0.05 2 0.4 6 0.1 11 0.15 12 0.05 14 Find the variance of the above random variable random variable.

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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