= Absolutely continuous probability distribution
{title2=$\mu_X\ll\lambda$}
An <absolutely continuous probability distribution> on the <real line> has a <probability density function> $f$ with respect to <Lebesgue measure> $\lambda$: for every <Borel set> $A$, $\mathbb P(X\in A)=\int_A f(x)\,dx$. Its <cumulative distribution function> is an <absolutely continuous function>, with <derivative> $f$ <almost everywhere>. The <probability density function> and <cumulative distribution function> example under <probability distribution> illustrates this class.
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