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AP Statistics Review

AP Statistics Review. Gathering Data (C11-13 BVD) C11: Understanding Randomness/Simulations. An event is random if we know what outcomes could happen, but not which particular values did or will happen.

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AP Statistics Review

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  1. AP Statistics Review Gathering Data (C11-13 BVD) C11: Understanding Randomness/Simulations

  2. An event is random if we know what outcomes could happen, but not which particular values did or will happen. • Generating truly random numbers is hard. See random.org for details. Most calculators/computers generate pseudorandom numbers. They mimic random behavior, but if you knew the algorithm generating them, you would know what particular number would come next. Random

  3. Math key – PRB menu • TI-nspire: Menu – Probability-Number-Random Generating Pseudorandom Numbers on TI-84

  4. 1. Identify component to be repeated in multiple trials of generating random numbers. • 2.Explain how you will use randomly generated digits to model the outcome of a trial. • 3. Explain how you will simulate one complete trial by generating the random numbers. • 4. Clearly state what you will be counting – i.e. identify your response variable. Simulations of Random Events: 7 Steps

  5. 5. Run several trials. (More is better). • 6. Analyze the outcomes of your several trials – usually this means find the average. • 7. State your conclusion. Use your result from step 6 to write a sentence that explains the meaning or implication of the result in context. Simulations of Random Events: 7 Steps

  6. You are about to take the road test for your driver’s license. You hear that only 34% of candidates pass the test the first time, but the percentage rises to 74% on retests. Estimate the average number of tests drivers take to get a license using a simulation. Example: page 224 #13

  7. 1. Identify component to be repeated in multiple trials of generating random numbers.

  8. 2.Explain how you will use randomly generated digits to model the outcome of a trial.

  9. 3. Explain how you will simulate one complete trial by generating the random numbers.

  10. 4. Clearly state what you will be counting – i.e. identify your response variable.

  11. 5. Run several trials. (More is better).

  12. 6. Analyze the outcomes of your several trials – usually this means find the average.

  13. 7. State your conclusion

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