# Tag Info

The cumulative distribution function of a random variable gives the probability of that variable taking on a value less than or equal to any given value. The cdf of a distribution is the integral of the pdf of that distribution: $$F(x)=Pr(X\le x)=\int_{-\infty}^{x}f(\xi)d\xi$$ (If the random variable is discrete, this simplifies to a sum.)