Question and Answers Forum

All Questions      Topic List

Probability and Statistics Questions

Previous in All Question      Next in All Question      

Previous in Probability and Statistics      Next in Probability and Statistics      

Question Number 153447 by rexford last updated on 07/Sep/21

Commented by rexford last updated on 07/Sep/21

please,i need help on this seriously

$${please},{i}\:{need}\:{help}\:{on}\:{this}\:{seriously} \\ $$

Answered by Jonathanwaweh last updated on 07/Sep/21

y=3x⇒var(y)=var(3x)             ⇒var(y)=3^2 var(x)             ⇒var(y)=3^2 ×4=36

$${y}=\mathrm{3}{x}\Rightarrow{var}\left({y}\right)={var}\left(\mathrm{3}{x}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\Rightarrow{var}\left({y}\right)=\mathrm{3}^{\mathrm{2}} {var}\left({x}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\Rightarrow{var}\left({y}\right)=\mathrm{3}^{\mathrm{2}} ×\mathrm{4}=\mathrm{36} \\ $$

Answered by prakash jain last updated on 07/Sep/21

Variance(aX+b)=a^2 Variance(X)  a=3  b=9  Variamce(Y)=9^2 ×4=36

$${Variance}\left({aX}+{b}\right)={a}^{\mathrm{2}} {Variance}\left({X}\right) \\ $$$${a}=\mathrm{3} \\ $$$${b}=\mathrm{9} \\ $$$${Variamce}\left({Y}\right)=\mathrm{9}^{\mathrm{2}} ×\mathrm{4}=\mathrm{36} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com