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Evaluating the median of a random variable with a particular probability density function., Exercises of Probability and Statistics

Al-Aqsa UniversityProbability and Statistics

Evaluating the median of a random variable with a particular probability density function.

Typology: Exercises

2017/2018

Uploaded on 08/02/2018

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

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Download Evaluating the median of a random variable with a particular probability density function. and more Exercises Probability and Statistics in PDF only on Docsity!

Exercise: The random variable X has density function f(x) = (e+ 1)x? for 0 i x? dx = ae 0 0 1 1 Hence,— = 7 Ol SR cGy Thus,the median of X can be calculated as follows: q 1 0.5 =| 3x°dx => gq? =0.5 > q = (0.5)3 0 1 As aresult, the median of X is (0.5)3 IMR.OSAMA ABDULFATTAH ALSATTARI