Algebra 2 : Modeling Probabilities

Published on August 07, 2010

#### 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

• 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.

• 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.

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

 Version: 1.20130516.105409 rev. 47177 (Production)