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Use the table below to find the expected value, variance, and standard deviation x P(x) xP(x) 2 0.1 4 0.3 6 0.4 8 0.2 0.2 1.2 2.4 1.6 Expected Value μ = Variance ² Standard Deviation o = (x-μ)² P(x) 1.156 0.588 0.144 1.352

Use the table below to find the expected value, variance, and standard deviation x P(x) xP(x) 2 0.1 4 0.3 6 0.4 8 0.2 0.2 1.2 2.4 1.6 Expected Value μ = Variance ² Standard Deviation o = (x-μ)² P(x) 1.156 0.588 0.144 1.352

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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Use the table below to find the expected value, variance, and standard deviation. | \( x \) | \( P(x) \) | \( xP(x) \) | \( (x - \mu)^2 P(x) \) | |-------|---------|---------|----------------| | 2 | 0.1 | 0.2 | 1.156 | | 4 | 0.3 | 1.2 | 0.588 | | 6 | 0.4 | 2.4 | 0.144 | | 8 | 0.2 | 1.6 | 1.352 | **Expected Value \( \mu \) =** [blank] **Variance \( \sigma^2 \) =** [blank] **Standard Deviation \( \sigma \) =** [blank]
Transcribed Image Text:Use the table below to find the expected value, variance, and standard deviation. | \( x \) | \( P(x) \) | \( xP(x) \) | \( (x - \mu)^2 P(x) \) | |-------|---------|---------|----------------| | 2 | 0.1 | 0.2 | 1.156 | | 4 | 0.3 | 1.2 | 0.588 | | 6 | 0.4 | 2.4 | 0.144 | | 8 | 0.2 | 1.6 | 1.352 | **Expected Value \( \mu \) =** [blank] **Variance \( \sigma^2 \) =** [blank] **Standard Deviation \( \sigma \) =** [blank]
Expert Solution
Step 1

Given data;

x P(x) xP(x) (x-μ)2P(x)
2 0.1 0.2 1.156
4 0.3 1.2 0.588
6 0.4 2.4 0.144
8 0.2 1.6 1.352
Total ∑P(x)=1 ∑xP(x)=5.4 ∑(x-μ)2P(x)=3.24
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