Let X be a random variable with distribution function F. The real number m that satisfies F(m)
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Let X be a random variable with distribution function F. The real number m that satisfies F(m−) ≤ 0.5 ≤ F(m)
is called the median of this distribution function. Assuming that F is known, and that it is continuous for any real t, explain how m can be found from F.
Application: The rate of increase for the price of oil (per gallon) is described by a random variable X with distribution function
Find the median of this distribution and interpret its value. The distribution F(t) is called the logistic distribution.
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Related Book For
Introduction To Probability Volume 2
ISBN: 9781118123331
1st Edition
Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis
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