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Data Analysis and Statistics for Geography, Environmental Science, and Engineering
book

Data Analysis and Statistics for Geography, Environmental Science, and Engineering

by Miguel F. Acevedo
December 2012
Beginner content levelBeginner
557 pages
19h 5m
English
CRC Press
Content preview from Data Analysis and Statistics for Geography, Environmental Science, and Engineering
59
3
Random Variables,
Distributions, Moments,
and Statistics
3.1 RANDOM VARIABLES
We can dene a random variable (RV) once we have dened the sample space, based on the possible
events and their probabilities. An RV is a rule, or a function, or a map associating a number to each
event in the sample space (see Figure 3.1).
Example: In the roll of six-sided die, the events are A
i
= side facing up is i where i = 1, 2, …,
6 with P[A
i
] = 1/6. We can make a “discrete” RV, denoted by X, associating each event with
the value of the RV; for example, X taking values X = {1, 2, 3, 4, 5, 6} each with P[x
i
] = 1/6.
We refer to the type of RV described in the ...
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Publisher Resources

ISBN: 9781439885017