LEC02 Backup of LEC02 Set Operations NEW

# LEC02 Backup of LEC02 Set Operations NEW - Probability The...

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Probability - The Basics Repetitive operation - experiment Outcome in unknown in advance Set of all possible outcomes is known

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Sample Space is SET of all Possible Outcomes, S ex) experiment: flip a coin S={h, t} ex) experiment: machine fills a 12 ounce can S={[0,13]} ex) experiment: number of earthquakes in a decade S={0,1,2. ..} 2
Number of Elements in Sample Space discrete: count number of elements in S with the integers 1, 2, 3, . .. finite: flip a coin S={H, T} countably infinite: # in queue S={0, 1, 2, . ..} continuous: interval on the real line dimension of part S={(.90, 1.1)} 3

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Are these discrete (finite or infinite) or continuous? S={a,b,c,d,f) S={2.1, 3.1, 6.125786} S={ (0.0, 0.0000001] } S={ (0, ) } S={1, 1/2, 1/3, 1/4, 1/5, 1/6, …} S={current inventory level of cars} S={current inventory level of road salt} S={state of machine – up, down, under repair} 4
Event is a subset of the Sample Space, S experiment: Flip a coin twice define some notation to list S

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LEC02 Backup of LEC02 Set Operations NEW - Probability The...

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