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11.4.4 Distribution function from Probability density function

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

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Both the probability density function and the cumulative distribution function (or distribution function) of a continuous random variable X contain all the probabilistic information of X . The probability distribution of X is determined by either of them. Let us learn the method to determine the distribution function F of a continuous random variable X from the probability density function f x of X and vice versa. Example . If X is the random variable with probability density function f x given by, otherwise find (i) the distribution function F x (ii) P

📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 202

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Both the probability density function and the cumulative distribution function (or distribution function) of a continuous random variable X contain all the probabilistic information of X . The probability distribution of X is determined by either of them. Let us learn the method to determine the distribution function F of a continuous random variable X from the probability density function f x of X and vice versa. Example .

If X is the random variable with probability density function f x given by, otherwise find (i) the distribution function F x (ii) P

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