generic · 12th TN - English Medium · MATHEMATICS-VOLUME 2 · Page 191table

11.3.3 Cumulative Distribution Function or Distribution Function

Chapter 8: Chapter 11 · MATHEMATICS-VOLUME 2 · EN medium

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. . Cumulative Distribution Function or Distribution Function There are many situations to compute the probability that the observed value of a random variable X will be less than or equal to some real number x . Writing F x for every real number x , we call F x ( ) , the cumulative distribution function or distribution function of the random variable X and its common abbreviation is cdf . Definition . : (cumulative distribution function) The cumulative distribution function F x ( ) of a discrete random variable X , taking the values x ,  such that x <  with probability mass function f x i is F x i i

📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 191

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. . Cumulative Distribution Function or Distribution Function There are many situations to compute the probability that the observed value of a random variable X will be less than or equal to some real number x . Writing F x for every real number x , we call F x ( ) , the cumulative distribution function or distribution function of the random variable X and its common abbreviation is cdf .

Definition . : (cumulative distribution function) The cumulative distribution function F x ( ) of a discrete random variable X , taking the values x ,  such that x <  with probability mass function f x i is F x i i

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