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Question Number 139868 by I want to learn more last updated on 01/May/21

Answered by TheSupreme last updated on 02/May/21

$$10question$$$$P\left(Answercorrectperquestion\right)=0.5$$$$P\left(NAnswercorrect\right)=\left(\begin{array}{c}10\\ n\end{array}\right)0.5^{10}$$$$P(N>8)=\left(\begin{array}{c}10\\ 9\end{array}\right)0.5^{10}+\left(\begin{array}{c}10\\ 10\end{array}\right)0.5^{10}=$$$$=0.97\mathrm{\%}$$$$$$$$mean=10answer/15answer$$$$stdv=10\times 0.25=2.5answer$$$$$$

Commented by I want to learn more last updated on 02/May/21

$$\mathrm{Thanks}\mathrm{sir}.\mathrm{I}\mathrm{appreciate}.$$

Commented by mr W last updated on 02/May/21

$$\frac{11}{1024}\approx 1.07\mathrm{\%}$$

Commented by I want to learn more last updated on 02/May/21

$$\mathrm{Sir},\mathrm{please}\mathrm{full}\mathrm{workings}\mathrm{please}.$$

Commented by mr W last updated on 02/May/21

$$youshouldcheckbyyourself:$$$$P(N>8)=\left(\begin{array}{c}10\\ 9\end{array}\right)0.5^{10}+\left(\begin{array}{c}10\\ 10\end{array}\right)0.5^{10}=\frac{11}{1024}\approx 1.07\mathrm{\%}$$

Answered by mr W last updated on 02/May/21

$$10questions$$$$totally{2}^{10}=1024possibilities$$$$9questionsarecorrectmeansone$$$$questioniswrong:10possibility$$$$10questionsarecorrect:1possibility$$$$p=\frac{10+1}{2^{10}}=\frac{11}{1024}\approx 1.07\mathrm{\%}$$

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