- #1
kidsasd987
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Homework Statement
Prove that A(X(ωk)2)≥A(X(ωk))2 if and only if X(ωk) has the same value for every k such that pk>0 for every category which actually occurs in the population
Homework Equations
A(X)=1/N∑nkX(ωk)=∑pkX(ωk)
The Attempt at a Solution
A[(X-A(X)2)]=A(X2)-A(X)2
and i believe the question itself is ill-structured because A(X2)-A(X)2 implies A(X2)≥A(X)2 for all X(ωk) since variance cannot be a negative value. Please confirm with me. Thanks