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Lecture03 - GEM2900 Understanding Uncertainty Statistical...

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GEM2900 - Understanding Uncertainty & Statistical Thinking Semester 1, 2012/2013 NUS/FOS/DSAP Lecture 3 – 1 GEM 2900 U d di U i & Understanding Uncertainty & Statistical Thinking L t 3 Lecture 3
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GEM2900 - Understanding Uncertainty & Statistical Thinking Semester 1, 2012/2013 NUS/FOS/DSAP Lecture 3 – 2 Sample Space & Events Chance Experiment A process with uncertainty about resulted outcomes Sample Space Collection of all possible outcomes of a chance experiment. Usually denoted by S Event Any collection of outcomes from the sample space. An event is a subset of the sample space, S . Typically, we are interested in some specific events.
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GEM2900 - Understanding Uncertainty & Statistical Thinking Semester 1, 2012/2013 NUS/FOS/DSAP Lecture 3 – 3 Sample Space & Events Example ... (a) Chance experiment: Toss a coin twice Sample space: S = {HH, HT, TH, TT} ... the sample space is discrete (countable) Event A = {HH} Event B = {HT, TH} (b) Chance experiment: Waiting time till the next bus arrives l Sample space: S = { x: x > 0 } = [ 0, ) ... the sample space is continuous (interval) E t A { 0 2 } [ 0 2 ] Event A = { x: 0 x } = [ 0, 2
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