Mathematics, 28.06.2019 09:00 nsaleh567
Afair spinner split evenly into 4 spaces has the values 2,5,6 and 10. find the variance
Answers: 1
denote the value the spinner lands on. Then 
![E[X]=\displaystyle\sum_xx\,P(X=x)=\frac{2+5+6+10}4=\dfrac{23}4](/tpl/images/0026/5839/521ed.png)
![V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2](/tpl/images/0026/5839/9ca41.png)
![E[X^2]=\displaystyle\sum_xx^2\,P(X=x)=\dfrac{2^2+5^2+6^2+10^2}4=\dfrac{165}4](/tpl/images/0026/5839/40368.png)
![V[X]=\dfrac{165}4-\dfrac{23}4=\dfrac{71}2](/tpl/images/0026/5839/d1167.png)
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Afair spinner split evenly into 4 spaces has the values 2,5,6 and 10. find the variance...
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