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We are given a random variable $X$ with PDF: \begin{align*} f(x ; p) &= p^x(1-p)^{1-x} \ , \\ \end{align*} where $0 \leq p \leq 1$ is the parameter and the support is $x \in \{0,1\}$.

Anyone knows what the name of this distribution is? And if so, could you please help me understand how I can infer to that? I only know of simple distributions such as uniform, gaussian...etc.


Update!

Thanks Minus One-Twelfth! I appreciate the quick answer, but I was hoping for some more elaboration on how I can infer to the distribution type.

KareemJ
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  • Note that $f(0;,p)=1-p,,f(1;,p)=p$. – J.G. Mar 23 '19 at 11:27
  • "how I can infer to the distribution type" You either know the name or you don't. Regardless, knowing the name won't help you use it. The actual distribution (which you have a nice formula for there) is what lets you do that. – Arthur Mar 23 '19 at 11:34

1 Answers1

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This is the Bernoulli distribution. Not sure what you mean by "infer to that".

Minus One-Twelfth
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