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The *p.d.f.* of the normal distribution is 
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​
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$$
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\frac{1}{\sqrt{2 \pi} \sigma} e ^ {- \frac{(x - \mu)^2}{2 \sigma ^2}}
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$$

The p.d.f. of the normal distribution is

12πσe−(x−μ)22σ2 \frac{1}{\sqrt{2 \pi} \sigma} e ^ {- \frac{(x - \mu)^2}{2 \sigma ^2}} 2π​σ1​e−2σ2(x−μ)2​

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