November 2012
Intermediate to advanced
794 pages
22h 9m
English
book
Probability, Random Variables, and Random Processes: Theory and Signal Processing Applications
by John J. Shynk
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2.3 SET OPERATIONS
Most problems of interest in probability involve operations on events. The two basic set operations are union and intersection.
Definition: Union 
The union of two sets is the set of all elements in A or B or both:
(2.5) 
The sum notation A+B is sometimes used to denote the union operation.
Definition: Intersection 
The intersection of two sets is the set of elements common to A and B:
(2.6) 
The product notation AB is sometimes used to denote the intersection operation.
Example 2.11. If A = {1, 2, 3} and B = {3, 4}, then 
and 
. If 
and 
, then 
and . If , A = (a, b), and B
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