Cumulative Distribution Functions (CDFs) Recall Definition 3.2.2, the definition of the cdf, which applies to both discrete and continuous random variables.For continuous random variables we can further specify how to calculate the cdf with a formula as follows. Here the notation (a, b], indicates a semi-closed interval. This object is called the cumulative distribution function (cdf). The cumulative distribution function is therefore a concave up parabola over the interval \(-1.

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