# Shared Flashcard Set

## Details

Statistics-MU
Chapter 4
14
Mathematics
09/20/2012

Term
 probability of an event
Definition
 relative frequency with which that event can be expected to occur.
Term
 Empirical Probability
Definition
 empirical probability of A = n times A occurred                                         number of trials   OR   algebra = P'(A) = n(A)/n
Term
 Theoretical (Expected Probability)
Definition
 theoretical prob A = n of times A occurs in sample space                          n elements in sample space   OR   algebra = P(A) = n(A)                         n(S)
Term
 Subjective Probability
Definition
 results from a personal judgement
Term
 Properties of Probability Numbers (1)
Definition
 probability is always a numerical value between 1 and 0 0≤P(A)≤1
Term
 Properties of Probability Numbers (2)
Definition
 sum of the probabilities for all outcomes of an experiment is equal to exactly one ΣP(A) = 1 for all outcomes
Term
Definition
 probabiity represents a relative frequency P(A) = ratio of the number of times an event can be expected to happen P'(A) = ratio of the number of times an event did occur divided by the number of data numerator must be 0 or positive denominatior must be greater than zero probability will alway be a number between 0 and 1
Term
 Law of Large Numbers
Definition
 as the number of times an experiment is repeated increases, the ratio of the number of successful occurrences to the number of trials will tend to approach the theoretical probability of the outcome for an individual trial
Term
 Probabilities as Odds
Definition
 the odds in favor of an event are a to b (a:b) ex) the odds against rain tomorrow are 1 to 4 (1:4) the probability of rain tomorrow is 4/(4+1)=4/5= 0.8 probability that there will be no rain tomorrow is 1/(4+1) = 1/5 = 0.2
Term
 Conditional Probability
Definition
 relative frequency with which an event can be expected to occur under the condition that additional, preexisting information is known about some other event. P(AIB) = probability of event A occurring und the condition that event B is known to already exist
Term
 Rules of Probability- Compound event
Definition
 combinations of more than one simple event
Term
 Rules of Probability - Complementary Events
Definition
 complement of an event A (A), is the set of all sample points in the sample space that do not belong to A ex) complement of the event "success" is "failure" Complement Rule probability of A complement = one-probability of A   P(A) = 1 - P(A)
Term