Lecture04 - GEM2900: Understanding Uncertainty...

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Unformatted text preview: GEM2900: Understanding Uncertainty & Statistical Thinking DSAP, NUS, Semester 1, 2008/2009 – 1 GEM2900: Understanding Uncertainty & Statistical Thinking Berwin Turlach statba@nus.edu.sg Department of Statistics and Applied Probability National University of Singapore Can Humans produce Randomness? GEM2900: Understanding Uncertainty & Statistical Thinking DSAP, NUS, Semester 1, 2008/2009 – 37 Runs Experiment squaresolid Let us try to mimic a sequence of 25 coin tosses, i.e. a random sequence of 25 H’s (heads) or T’s (tails) such that square each time, each symbol has probability 1 2 , 1 2 of appearing; square which symbol appears in any “toss” is not influenced by previous “tosses”. squaresolid When told to Start , please try to write down instinctively (i.e. fairly quickly) a random sequence of 25 H’s or T’s. Can Humans produce Randomness? (cont.) GEM2900: Understanding Uncertainty & Statistical Thinking DSAP, NUS, Semester 1, 2008/2009 – 38 squaresolid A run is a sequence of consecutive heads or consecutive tails. squaresolid A completed run is a run which has been terminated by the occurrence of the other symbol squaresolid For example, the sequence H H T H H T H T T T H T H H H T T contains nine completed runs: H H 1 T 2 H H 3 T 4 H 5 T T T 6 H 7 T 8 H H H 9 T T Can Humans produce Randomness? (cont.) GEM2900: Understanding Uncertainty & Statistical Thinking DSAP, NUS, Semester 1, 2008/2009 – 39 squaresolid...
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Lecture04 - GEM2900: Understanding Uncertainty...

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