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Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

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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**Probability Distribution Table and Standard Deviation Calculation** Below is a probability distribution table for a discrete random variable \( x \): | \( x \) | \( P(x) \) | |---------|------------| | 0 | 0.2 | | 1 | 0.2 | | 2 | 0.25 | | 3 | 0.35 | *Objective*: Find the standard deviation of this probability distribution. Provide your answer to at least 2 decimal places. --- To calculate the standard deviation, follow these general steps: 1. Calculate the mean (\( \mu \)) of the distribution. 2. Find each value's deviation from the mean, square it, and multiply by the probability of the value. 3. Sum these values to get the variance. 4. Take the square root of the variance to get the standard deviation. ---
Transcribed Image Text:**Probability Distribution Table and Standard Deviation Calculation** Below is a probability distribution table for a discrete random variable \( x \): | \( x \) | \( P(x) \) | |---------|------------| | 0 | 0.2 | | 1 | 0.2 | | 2 | 0.25 | | 3 | 0.35 | *Objective*: Find the standard deviation of this probability distribution. Provide your answer to at least 2 decimal places. --- To calculate the standard deviation, follow these general steps: 1. Calculate the mean (\( \mu \)) of the distribution. 2. Find each value's deviation from the mean, square it, and multiply by the probability of the value. 3. Sum these values to get the variance. 4. Take the square root of the variance to get the standard deviation. ---
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