Cumulative distribution function
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The cumulative distribution function (CDF) gives the probability that a random variable is less than or equal to a specific value . It is defined as:
For a discrete variable, the CDF is the sum of probabilities for all outcomes up to . For a continuous variable, it is the integral of the probability density function (PDF) up to . The CDF always ranges from 0 to 1 and is non-decreasing. Sablon:Engl