Mathematics, 03.01.2020 06:31 alexsysantiago54
A6-sided die is repeatedly rolled until the total sum of all the rolls exceeds 300. approximate(using the central limit theorem) the probability thatat least80 rolls are necessary to reach asum that exceeds 300.
Answers: 3
![Y=\sum_{i=1}^{80}X_i\\\\E(Y)=80*E(X_i)=80*[(1/6)*(1+2+3+4+5+6)]=80*3.5=280\\\\V(Y)=80V(X_i)\\\\V(Y)=80*(1/6)[(1-3.5)^2+(2-3.5)^2+(3-3.5)^2+(4-3.5)^2+(5-3.5)^2+(6-3.5)^2]\\\\V(Y)=80*(1/6)*17.5=233.33](/tpl/images/0441/0766/5f139.png)
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A6-sided die is repeatedly rolled until the total sum of all the rolls exceeds 300. approximate(usin...
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