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7-7/7-8 Designing Simulations

7-7/7-8 Designing Simulations. Simulations…. Simulation – An experimental model of a situation that attempts to capture all aspects of the real situation that effects the outcomes. Trial – Each “running” of the simulation. Monte-Carlo Method.

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7-7/7-8 Designing Simulations

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  1. 7-7/7-8 7-7/7-8Designing Simulations

  2. 7-7/7-8 Simulations… Simulation – An experimental model of a situation that attempts to capture all aspects of the real situation that effects the outcomes. Trial – Each “running” of the simulation

  3. 7-7/7-8 Monte-Carlo Method This method uses relative frequencies obtained from repeated trials to simulate a real-life experiment and obtain specific probabilities. Steps – 1) Determine the type/kind of simulation method you will use. (Dice, coin, spinner,etc.) 2) Define what constitutes a single trial and what data will be recorded. 3) Determine the number of trials that will be run, and how the estimated answer will be obtained.

  4. 7-7/7-8 Example: You are studying the number of boys and girls with families of 3 children. Design a simulation with 100 trials to estimate the probability that a family of 3 children has exactly one boy Steps – 1) Determine the type/kind of simulation method you will use. (Dice, coin, spinner, etc.) 2) Define what constitutes a single trial and what data will be recorded. 3) Determine the number of trials that will be run, and how the estimated answer will be obtained.

  5. 7-7/7-8 Random Numbers: Grab a book and turn to page 874 (T-134)…

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