Question
As $\sigma$ increases, the normal density curve becomes more spread out. Knowing the area under the density curve must be $1,$ what effect does increasing $\sigma$ have on the height of the curve?
Step 1
The probability density function (pdf) of this distribution is given by: \[f(x) = \frac{1}{\sqrt{2\pi\sigma^2}} e^{-\frac{(x-\mu)^2}{2\sigma^2}}\] Show more…
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