Transcription for Educational Website:-----**Find the Standard Deviation of a Probability Distribution**The following table provides the probability distribution for a random variable \( x \):| \( x \) | \( P(x) \) ||--------|------------|| 0 | 0.15 || 1 | 0.05 || 2 | 0.2 || 3 | 0.6 |**Problem Statement:**Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places.[Input Box]**Question Help:**- Message instructor**Buttons:**- [Submit Question]- [Jump to Answer]-----**Instructions for Calculating Standard Deviation:**1. Calculate the mean (\( \mu \)) of the distribution.2. Use the formula for the standard deviation (\( \sigma \)) of a probability distribution: \[ \sigma = \sqrt{\sum (x_i - \mu)^2 \cdot P(x_i)} \]3. Ensure your answer is rounded to at least two decimal places.

Answered: X 0 1 2 3 P(x) 0.15 0.05 0.2 0.6 Find…

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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X 0 1 2 3 P(x) 0.15 0.05 0.2 0.6 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places Question Help: Message instructor Submit Question Jump to Answer