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Simulating experiments
Section 5.3 Simulating experiments
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What are the chances? Three ways to answer this question:
Actually carry out an experiment Develop a probability model (Ch. 6) Start with a model, and then use a procedure to simulate repetitions We’ll use technology 1. Could be costly, impractical, or logistically difficult Uses rules of probability 3. Quicker than repeating the real experiment.
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Simulation The imitation of chance behavior based on a model that accurately reflects the experiment under consideration Effective for finding likelihoods of complex results.
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Running a Simulation State the problem/describe the experiment
State the assumptions Assign digits to represent outcomes Simulate many repetitions State your conclusions
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Using Technology to Simulate
randInt( TI-84 and 83: Press MATH, PRB, #5 TI-89 Press CATALOG F3
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Using Technology to Simulate
The command randInt(0, 9, 5) generates 5 random digits between any two specified values. The command randInt(1, 6, 7) could be used to simulate rolling a die 7 times.
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Homework: P. 314: #60, 62, 63 c & d, 64
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