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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.
* 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.
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* Math key – PRB menu
* TI-nspire:
Menu – Probability-Number-Random
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* 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.
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* 5.
* 6.
Run several trials. (More is better).
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.
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* 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.
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