Why is the expected value E(X^2)ne E(X)^2?

Belinda Colon

Belinda Colon

Answered question

2022-11-24

Why is the expected value E ( X 2 ) E ( X ) 2 ?

Answer & Explanation

Aurora Hutchinson

Aurora Hutchinson

Beginner2022-11-25Added 10 answers

Let E X = μ and E ( X μ ) 2 = σ 2 , then
So E X 2 = σ 2 + μ 2 , no matter the distribution, and E X 2 ( E X ) 2 unless the variance equals zero.

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