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Section 5.3 Simulations

Section 5.3 Simulations. AP Statistics toddfadoir.com/apstats. Simulation. “The imitation of chance behavior, based on a model that accurately reflects the experiment under consideration, is called simulation.”. Simulation Steps. State the problem or describe the experiment.

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Section 5.3 Simulations

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  1. Section 5.3Simulations AP Statistics toddfadoir.com/apstats

  2. Simulation • “The imitation of chance behavior, based on a model that accurately reflects the experiment under consideration, is called simulation.” AP Statistics, Section 5.3

  3. Simulation Steps • State the problem or describe the experiment. • State the assumption. • Assign digits to present outcomes. • Simulate many repetitions. AP Statistics, Section 5.3

  4. Example • Toss a coin 10 times. • What is the likelihood of a run of 3 or more consecutive heads or tails. AP Statistics, Section 5.3

  5. AP Statistics, Section 5.3

  6. Example • Unemployment as defined by the Treasury Department means that someone is out of work and is actively seeking employment. • About 27% of teenagers are unemployed. • Simulate selecting a group of 20 teens. • Repeat 10 times. • How often are more than half unemployed? AP Statistics, Section 5.3

  7. AP Statistics, Section 5.3

  8. Example • A couple plans to have children until they have a girl or until they have 4 children. • What is the likelihood of having a girl. AP Statistics, Section 5.3

  9. AP Statistics, Section 5.3

  10. Example • Shaquille O’Neal has a free-throw percentage of 58% (He makes approximate 58 free-throws for every 100 attempted) • Simulate selecting 10 groups of 20 shots. • How often does he miss more than half his shots? AP Statistics, Section 5.3

  11. AP Statistics, Section 5.3

  12. Assignment • Exercises: 5.59-5.67, odd AP Statistics, Section 5.3

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