Lecture 7

# Lecture 7 - Probability chance that something will happen...

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Probability – chance that something will happen Basic Definitions for Set Notation Experiment: Any process that yields a result or an observation. Ex. Flipping a coin Outcome: A particular result of an experiment. Sample Space : All possible outcomes of an experiment. Denoted by S. Ex. Sample Space S = { } Event : Any collection of possible outcomes of an experiment. It is a subset of S (including S itself). Ex.: event is getting a tail

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Event A = {tail} denoted any capital letter, just not S Probability of an event A F frequency P (A) = ----- = ---------------------- N Sample Size = Number of times the event occurred in the past Total number of observations or n(A) # of things in A P(A) = n(S) = # of things in S
an even number when rolling a single dice? S = { } A = { } P(A) = Example: A sample of 1600 people in Baltimore showed 1200 Democrats and 400 Republicans. What is the probability that an individual selected at random in the city will be a Republican? 400

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## This note was uploaded on 02/15/2009 for the course STAT 2004 taught by Professor Melutz during the Fall '07 term at Virginia Tech.

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Lecture 7 - Probability chance that something will happen...

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