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Add minor edits from code Leios' review
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contents/probability/distributions/distributions.md

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@@ -119,7 +119,7 @@ Well, suppose $$x$$ is a continous quantity, and we have a probability density f
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Now, if we are interested in the probability of the range of values that lie between $$x_0$$ and $$x_0 + dx$$, all we have to do is calculate the _area_ of the green sliver above.
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This is the defining feature of a probability density function:
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> the probability of a range of values is the _area_ of the region under the probability density curve which is within that range.
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__the probability of a range of values is the _area_ of the region under the probability density curve which is within that range.__
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So if $$dx$$ is infinitesimally small, then the area of the green sliver becomes $$P(x)dx$$, and hence,
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P(x) = \frac{1}{N} e^{-x^2} = \frac{1}{\sqrt{\pi}} e^{-x^2}.
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$$
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In general, normalization can allow us to create a probability distribution out of almost any function $$f(x)$$.
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In general, normalization can allow us to create a probability distribution out of almost any function $$f(\mathbf{x})$$.
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There are really only two rules that $$f(\mathbf{x})$$ must satisfy to be a candidate for a probability density distribution:
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1. The integral of $$f(\mathbf{x})$$ over any subset of $$D$$ (denoted by $$S$$) has to be non-negative (it can be zero):
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$$

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