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[[File:Combined Cumulative Distribution Graphs.png|thumb|455x455px|
[[File:Combined Cumulative Distribution Graphs.png|thumb|455x455px|
图2:On the left is the probability density function. On the right is the cumulative distribution function, which is the area under the probability density curve.
图2:On the left is the probability density function. On the right is the cumulative distribution function, which is the area under the probability density curve.
左边是概率密度函数。右边是累积分布函数，它是概率密度曲线下面的区域。]]
左边是概率密度函数。右边是累积分布函数，它是概率密度曲线下面的区域。
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】“它是概率密度曲线下面的区域”一句中“下面的区域”改为“下方的面积”。
--[[用户:普天星相|普天星相]]([[用户讨论:普天星相|讨论]]) 【审校】“它是概率密度曲线下面的区域”一句中“下面的区域”改为“下方的面积”。
]]
The [[cumulative distribution function]] describes the probability that the random variable is no larger than a given value; the probability that the outcome lies in a given interval can be computed by taking the difference between the values of the cumulative distribution function at the endpoints of the interval. The cumulative distribution function is the [[antiderivative]] of the probability density function provided that the latter function exists. The cumulative distribution function is the area under the [[probability density function]] from minus infinity <math>\infty</math> to <math>x</math> as described by the picture to the right.<ref>{{Cite book|title=A modern introduction to probability and statistics : understanding why and how|date=2005|publisher=Springer|others=Dekking, Michel, 1946-|isbn=978-1-85233-896-1|location=London|oclc=262680588}}</ref>
The [[cumulative distribution function]] describes the probability that the random variable is no larger than a given value; the probability that the outcome lies in a given interval can be computed by taking the difference between the values of the cumulative distribution function at the endpoints of the interval. The cumulative distribution function is the [[antiderivative]] of the probability density function provided that the latter function exists. The cumulative distribution function is the area under the [[probability density function]] from minus infinity <math>\infty</math> to <math>x</math> as described by the picture to the right.<ref>{{Cite book|title=A modern introduction to probability and statistics : understanding why and how|date=2005|publisher=Springer|others=Dekking, Michel, 1946-|isbn=978-1-85233-896-1|location=London|oclc=262680588}}</ref>