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Question Number 200792 by sonukgindia last updated on 23/Nov/23

Commented by Frix last updated on 23/Nov/23

$$\mathrm{Do}\mathrm{you}\mathrm{know}\mathrm{the}\mathrm{answer}?$$$$\mathrm{Is}\mathrm{it}63.77\mathrm{\%}?$$

Commented by sonukgindia last updated on 23/Nov/23

$$how?$$

Commented by Frix last updated on 23/Nov/23

$$\mathrm{I}\mathrm{think}$$$$\mu =32.66\times 36=1175.76$$$$\sigma =1.36\times 36=48.96$$$$x=1193$$$$z=\frac{x-\mu }{\sigma }\approx .352328$$$$\frac{1}{\sqrt{2\pi }}\underset{-\mathrm{\infty }}{\stackrel{z}{\int }}{\mathrm{e}}^{-\frac{x^2}{2}}dx\approx .637704$$

Commented by mr W last updated on 23/Nov/23

$$ithink{it}^{\prime }scorrect.$$

Answered by mr W last updated on 23/Nov/23

$$\frac{1399}{36}=33.14$$$$\frac{x-\mu }{\sigma \sqrt{2}}=\frac{33.14-32.66}{1.36\times \sqrt{2}}=0.24957$$$$\frac{1}{2}[1+erf\left(\frac{x-\mu }{\sigma \sqrt{2}}\right)]\approx 63.79\mathrm{\%}$$

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