Dirac Delta

-$P(X\in A)=\{\begin{array}{ll}1& \text{if 0}\in A\\ 0& \text{if }0\notin A\end{array}$

• $P(X\in A)={\int }_A\delta (x)dx$

In ${\mathbb{R}}^n$

• it is a PDF which describes prob concentrated in the origin
• Multi Point Distribution → combine dirac deltas
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