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# Statistic 4

Any collection of results or outcomes of a procedure Event
An outcome or event that can not be further broken down into simpler components Simple event
A procedure consisting of all possible simple events Sample space
Relative frequency Observation of the number of times that event A actually occurs. P(A)= number of times A occurred/number of times the procedure was repeated
Relative frequency example Free throws made/ attempts= next free throw
Law of large numbers Relative frequency: The more observations the better the probability of the outcome
Classical approach to probability Requires equally likely outcomes Assume that a given procedure has "n" different sample events and each of those simple events has an equal chance of occurring. P(A)= # of ways A occur/ # of diff. Simple events
Classical approach of probability example Dye roll: probability of getting a roll of 1? 1/6 chances of getting a 1.
Complement Event A, denoted by A (with a bar on top), consist of all outcomes in which event A doesn't occur
Unlikely vs. Unusual Unlikely: probability is very small (0.05 or less) Unusual: extreme outcomes
Rare event rule If given under the assumption, the probability of a particular observed event is extremely small, we can conclude that the assumption is not correct.
Addition rule notation P(A or B)=P(A)+P(B)-P(A and B) "OR" addition Mutually exclusive/disjoint
Inclusive vs. Exclusive Inclusive: one or the other or both Exclusive: one or the other but not both
Compound events Any event combining two or more simple events
Disjoint/Mutually Exclusive Events A and B Cannot occur at the same time. P(A or B)=P(A)+P(B)-P(A and B)
Multiplication rule P(A and B)=P(A)P(B) "AND" multiplication
Independent Two events A and B are independent if the occurrence of the one does not effect the other (with replacement)
Created by: Capty103
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