Simulating experiments

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Presentation transcript:

Simulating experiments Section 5.3 Simulating experiments

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. 2. Uses rules of probability 3. Quicker than repeating the real experiment.

Simulation The imitation of chance behavior based on a model that accurately reflects the experiment under consideration Effective for finding likelihoods of complex results.

Running a Simulation State the problem/describe the experiment State the assumptions Assign digits to represent outcomes Simulate many repetitions State your conclusions

Using Technology to Simulate randInt( TI-84 and 83: Press MATH, PRB, #5 TI-89 Press CATALOG F3

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.

Homework: P. 314: #60, 62, 63 c & d, 64