cdf

In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable



X


{\displaystyle X}
, or just distribution function of



X


{\displaystyle X}
, evaluated at



x


{\displaystyle x}
, is the probability that



X


{\displaystyle X}
will take a value less than or equal to



x


{\displaystyle x}
.
In the case of a scalar continuous distribution, it gives the area under the probability density function from minus infinity to



x


{\displaystyle x}
. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.

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