Textbook Notes (367,985)
Statistics (31)
STA220H5 (4)
Chapter 3

# chapter 3.pdf

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Department
Statistics
Course
STA220H5
Professor
Robert Reisz
Semester
Fall

Description
AN EXPERIMENT IS HOW YOU GET A SINGLE CHANCE OUTCOME. A SAMPLE POINT IS THE MOST BASIC OUTCOME OF AN EXPERIMENT. THE SAMPLE SPACE IS THE SET OF ALL THE SAMPLE POINTS OF AN EXPERIMENT. AN EVENT IS A SPECIFIC COLLECTION OF SAMPLE POINTS. ==================================================================== AXIOMS OF PROBABILITY FOR SAMPLE POINTS IF E IS A SAMPLE POINT 1. 0 # P(E) #1 2. EP(E) = 1 ===================================================================== The union of two events is an event that occurs if A or B or both occur. The union consists of all the sample points that are in A or in B or in both. It is denoted by A c B. The intersection of two events A and B is an event that occurs if both A and B occur. It consists of the set of sample points that belong to both A and B. It is denoted by A 1 B. ===================================================================== If two events A and B have no sample points in common they are mutually exclusive. A 1 B = N and P(A 1 B) = 0. ===================================================================== TheAdditive Rule of Probability P(A c B) = P(A) + P(B) - P(A 1 B) ================================================================== The complement of the event A denoted by A is the event that A does not occur. c P(A) + P(A ) = 1 ==================================================================== The conditional probability that the
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