Transcription of 3. Probability Theory - stat.wisc.edu
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3. Probability Theory - stat.wisc.edu
Ismor Fischer, 5/29/2012 .. 3. Probability Theory Basic Ideas, Definitions, and Properties POPULATION = Unlimited supply of five types of fruit, in equal proportions. O1 = Macintosh apple O2 = Golden Delicious apple O3 = Granny Smith apple O4 = Cavendish (supermarket) banana O5 = Plantain banana Experiment 1: Randomly select one fruit from this population, and record its type. Sample Space: The set S of all possible elementary outcomes of an experiment. S = {O1, O2, O3, O4, O5} #(S) = 5 Event: Any subset of a sample space S. ( Elementary outcomes = simple events.) A = Select an apple. = {O1, O2, O3} #(A) = 3 B = Select a banana. = {O4, O5} #(B) = 2 Event P(Event) A 3/5 = B 2/5 = 5/5 = P(A) = The Probability of randomly selecting an apple is As # trials P(B) = The Probability of randomly selecting a banana is 1/1 1/2 2/3 3/4 3/5 4/6 1/3 1/4 2/5 2/6.
A single tooth is to be randomly selected for a certain dental procedure. Draw a Venn diagram to illustrate the relationships between the three following events:
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