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molly.henson · Jan 16, 2012, 12:19 PM

A normal curve with Î¼ = 20 and Ïƒ = 3, and a normal curve with Î¼ = 20 and Ïƒ
= 6.

corrigan · Jan 16, 2012, 01:14 PM

first of all, you can't just cut and paste. If you mean a normal distribution curve with $\mu=20, \sigma^2 =3$ and $\mu=20, \sigma^2 =6$ , it's just two normal curves both centered on 20 with the crest of the curves at $\frac{1}{\sqrt{6 \pi}}$ and $\frac{1}{\sqrt{12 \pi}}$ respectively. Keep in mind that the second curve will be shorter and "fatter". More specifically, the graph of any normal curve is just the graph of the function

$f(x)=\frac{1}{\sqrt{2 \pi \sigma^2}} \cdot e^{-\frac{(x-\mu)^2}{2\sigma^2}}$

I hope this helps.