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概率统计 >> 概率论
Questions in category: 概率论 (Probability).

[Exer5-4] Exercise 40 of Book {Devore2017B} P.118

Posted by haifeng on 2020-03-23 20:32:52 last update 2020-03-23 20:46:29 | Answers (1) | 收藏


Using the definition of variance, prove that
\[
V(aX+b)=a^2\cdot\sigma_X^2
\]

 

[Hint] With $h(X)=aX+b$, $E[h(X)]=a\mu+b$ where $\mu=E(X)$.