Education Technology

Algebra II: Modeling Probabilities

by Texas Instruments

Overview

Students use simulations and graphs to explore what happens when the number of trials of a binomial experiment becomes a large number.

Key Steps

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    In Problem 1, students simulate a binomial experiment using the program b>COINFLIP. When the simulation runs, each row in list L1 displays the number of heads that occurred for a trial. Students repeat the process using different numbers of trials to determine the shape of the histogram.

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    In Problem 2, students explore probability distributions. They simulate 10 flips, for 50 trials and then use a histogram to determine and record the number of times an outcome occurs. Lastly, students will use a formula to calculate the experimental probabilities.

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    Students will compare the experimental probabilities with the probabilities calculated with the binomPdf and normPdf commands to determine which distribution best models each situation.