The median of X is the value x for which P(X < x) = 0.5, i.e. the value of æ such that P(X < X) = P(X > x). In other words, X has equal probability of being above or below the median, and each probability is therefore 1/2. In terms of the cdf F(x) = P(X < x), we can equivalently define the median as the value a satisfying F(x) = 0.5. Think: What is the median of Z?
The median of X is the value x for which P(X < x) = 0.5, i.e. the value of æ such that P(X < X) = P(X > x). In other words, X has equal probability of being above or below the median, and each probability is therefore 1/2. In terms of the cdf F(x) = P(X < x), we can equivalently define the median as the value a satisfying F(x) = 0.5. Think: What is the median of Z?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The median of X is the value æ for which P(X < x) = 0.5, i.e. the value
of æ such that P(X < X) = P(X > x). In other words, X has equal probability of
being above or below the median, and each probability is therefore 1/2. In terms of the
cdf F(x) = P(X < x), we can equivalently define the median as the value x satisfying
F(x) = 0.5.
Think: What is the median of Z?
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