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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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a.) Here, X is a discrete random variable, where,

P[X=x]=0.36, x=00.48, x=10.16, x=20,otherwiseNote that P[X=0]+P[X=1]+P[X=2]=0.36+0.48+0.16=1.Hence,P[X=x] is a pmf.Then, μ=E(X)=∑x={0,1,2}x×P[X=x]=0×0.36+1×0.48+2×0.16=0.8and,E(X2)=∑x={0,1,2}x2×P[X=x]=0×0.36+12×0.48+22×0.16=1.12Hence,V(X)=E(X2)-E2(X)=1.12-0.82=0.48Then,σ=V(X)=0.48=0.69282

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