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STAT 3743 Daily Outline

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2010-09-15 Wed

Probability as limiting relative frequency

Axioms for Probability

P(A) nonnegative
P(S) = 1
Probability of disjoint union is sum of probabilities

Properties of probability

complement
probability of null event
monotone
P(A) between zero and one
General addition rule (for many events)
Boole's inequality

Probability assignment: equally likely model

P(A) = #(A)/#(S)

Examples: tossing coins, etc.

How to count

Multiplication principle

Examples

Author: G. Jay Kerns <gkerns@ysu.edu>

Date: 2010-10-08 15:18:15 EDT

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